Elenco delle pubblicazioni di Paolo Marcellini

 

 

 

 

   P.MARCELLINI, Su  una  convergenza  di  funzioni  convesse,  Boll. Un. Mat. Ital.,  8 (1973), 137-158.

   P.MARCELLINI, Un teorema di passaggio al limite per la somma di funzioni convesse, Boll. Un. Mat. Ital.,  11 (1975), 107-124.

   L.BOCCARDO-P.MARCELLINI, Sulla convergenza delle soluzioni di disequazioni variazionali, Ann. Mat. Pura Appl., 110 (1976), 137-159.

   P.MARCELLINI-C.SBORDONE, An approach to the asymptotic behaviour of elliptic-parabolic operators, J. Mat. Pures Appl., 56 (1977), 157-182.

   P.MARCELLINI-C.SBORDONE, Sur quelques questions de G-convergence et d'homogeneisation non lineaire, C. R. Acad. Sc. Paris, 284 (1977), 535-537.

   P.MARCELLINI-C.SBORDONE, Dualità e perturbazione di funzionali integrali, Ricerche di Mat., 26 (1977), 383-421.

   P.MARCELLINI-C.SBORDONE, Relaxation of non convex variational problems, Rend. Acc. Naz. Lincei, 63 (1977), 341-344.

   P.MARCELLINI-C.SBORDONE, Homogenization of non-uniformly elliptic operators, Applicable Anal., 8 (1978), 101-113.

   P.MARCELLINI, Periodic solutions and homogenization of non linear variational problems, Ann. Mat. Pura Appl., 117 (1978), 139-152.

   P.MARCELLINI, Some problems of semicontinuity and of convergence for integrals of the calculus of variations, Recent Methods in Nonlinear Analisys,  edited by De Giorgi, Magenes, Mosco, Pitagora Ed., 1979, 205-222.

10

   O.ARENA-S.CAMPI-G.CHITI-P.MARCELLINI-G.TALENTI-A.VENTURI, Alcuni problemi inversi nella letteratura matematica sovietica, Quaderno del C.N.R., Pitagora Ed., 1979.

   P.MARCELLINI, Convergence of second order linear elliptic operators, Boll. Un. Mat. Ital., 16-B (1979), 278-290.

   P.MARCELLINI-C.SBORDONE, Semicontinuity problems in the calculus of variations,  Nonlinear Anal., 4 (1980), 241-257.

   P.MARCELLINI, Alcune osservazioni sull'esistenza del minimo di integrali del calcolo delle variazioni senza ipotesi di convessità, Rendiconti di Matematica,  13 (1980),  271-281.

   P.MARCELLINI, Bounds for the third membrane eigenvalue, J. Differential Equations, 37 (1980), 438-443.

   P.MARCELLINI, Asymptotic behaviour for the time-dependent equation of prescribed mean curvature, Atti del convegno "Metodi asintotici e topologici in problemi differenziali non lineari", Pitagora Ed., 1981, 105-110.

   P.MARCELLINI, Asymptotic growth for the time-dependent equation of prescribed mean curvature, Atti del convegno "Studio di problemi-limite dell'analisi funzionale", Pitagora Ed., 1982, 117-128.

   P.MARCELLINI, Identificazione di un coefficiente in una equazione differenziale ordinaria del secondo ordine, Ricerche di Mat., 31 (1982), 223-243.

   P.MARCELLINI, A relation between existence of minima for nonconvex integrals and uniqueness for non strictly convex integrals of the calculus of variations, Mathematical Theories of Optimization, Proceedings, edited by J.P.Cecconi and T.Zolezzi, Lecture Notes in Math., vol. 979, Springer, 1983, 216-231.

   P.MARCELLINI, Some remarks on uniqueness in the calculus of variations, College de France Seminar, edited by H.Brezis and J.L.Lions, Research Notes in Math., vol. 84, Pitman, 1983, 148-153.

20

   P.MARCELLINI-C.SBORDONE, On the existence of minima of multiple integrals of the calculus of variations,  J. Math. Pures Appl., 62 (1983), 1-9.

   P.MARCELLINI, Alcuni problemi di convergenza, Rend. Sem. Mat. Univers. Politec. Milano, 41 (1983), 35-52.

   P.MARCELLINI-K.MILLER, Asymptotic growth for the parabolic equation of prescribed mean curvature, J. Differential Equations, 51 (1984), 326-358.

   P.MARCELLINI, Quasiconvex quadratic forms in two dimensions, Appl. Math. Optimization, 11 (1984), 183-189.

   P.MARCELLINI, Approximation of quasiconvex functions and lower semicontinuity of multiple integrals, Manuscripta Math., 51 (1985), 1-28.

   P.MARCELLINI, On quasiconvexity in the calculus of variations, Symposia in Pure Math., 45 (1986), part 2, 169-173.

   P.MARCELLINI-K.MILLER, Asymptotic growth for evolutionary surfaces of prescribed mean curvature, Symposia in Pure Math., 45 (1986), part 2, 175-178.

   P.MARCELLINI, On the definition and the lower semicontinuity of certain quasiconvex integrals, Annales de L’Institut Henri Poincaré. Analyse Non Linéaire, 3 (1986), 391-409.

   P.MARCELLINI, Existence theorems in nonlinear elasticity, edited by J.B.Hiriart-Urruty, North-Holland, 1986, 241-247.

   P. MARCELLINI, Un exemple de solution discontinue d'un probléme variationnel dans le cas scalaire, Preprint Istituto Matematico "U. Dini" n. 11, Universita  di Firenze, 1987.   1987_Marcellini_Un_exemple_de_solution_discontinue_d'un_probleme_variationnel_dans_le_cas_scalaire.pdf

30

    B.DACOROGNA-P.MARCELLINI, A counterexample in the vectorial calculus of variations, Material Instabilities in Continuum Mechanics, edited by J. M. Ball, Calderon Press, Oxford, 1988, 77-83.   1988_Dacorogna_Marcellini_A_counterexample_in_the_vectorial_calculus_of_variations.pdf

   P.MARCELLINI, The stored-energy for some discontinuous deformations in nolinear elasticity, Essays in honor of E.De Giorgi, Vol.II, edited by F.Colombini et al.,  Birkha  user, 1989, 767-786.   1989_Marcellini_The_stored-energy_for_some_discontinuous_deformations_in_nolinear_elasticity.pdf

   P.MARCELLINI, Regularity of minimizers of integrals of the calculus of variations with non standard growth conditions, Arch. Rational Mech. Anal., 105 (1989), 267-284.   1989_Marcellini_Regularity_of_minimizers_of_integrals_of_the_calculus_of_variations_with_nonstandard_growth_conditions.pdf

   P.MARCELLINI,  Non convex integrals of the calculus of variations, Methods of nonconvex Analysis, edited by A.Cellina, Lecture Notes in Math., vol. 1446, Springer, 1990, 16-57.   1990_Marcellini_Non_convex_integrals_of_the_calculus_of_variations.pdf

   L.BOCCARDO-P.MARCELLINI-C.SBORDONE, Regularity for variational problems with sharp non standard growth conditions, Boll. Un. Mat. Ital., 4-A (1990), 219-225.   1990_Boccardo_Marcellini_Sbordone_Regularity_with_sharp_non_standard_growth_conditions.pdf

   B.DACOROGNA-P.MARCELLINI, Semicontinuité pour des intégrandes polyconvexes sans continuité des déterminants, C. R. Acad. Sci. Paris, 311 (1990), 393-396.

   P.MARCELLINI, Regularity and existence of solutions of elliptic equations with p,q-growth conditions, J. Differential Equations, 90 (1991), 1-30.   1991_Marcellini_Regularity_and_existence_of_solutions_of_elliptic_equations_with_p,q-growth_conditions.pdf

   B.BOTTERON-P.MARCELLINI, A general approach to the existence of minimizers of one-dimensional non-coercive integrals of the calculus of variations, Annales de L’Institut Henri Poincaré. Analyse Non Linéaire, 8 (1991), 197-233.  1991_Botteron_Marcellini_A_general_approach_to_the_existence_of_non-%20coercive_integrals.pdf

   P.MARCELLINI, Regularity for elliptic equations with general growth conditions, J. Differential Equations, 105 (1993), 296-333.   1993_Marcellini_Regularity_for_elliptic_equations_with_general_growth_conditions.pdf

   P.MARCELLINI, Regularity in the Calculus of Variations under general growth conditions, Proceed. Internatinal Work. for the 75th birthday of J.P.Cecconi, edited by M.Chicco, P.Oppezzi and T.Zolezzi, Genova-Nervi, 1993, 107-122.

40

   S.FOCARDI-S.TOSO-P.MARCELLINI-P.MONTANARO, The grazing pattern of female fallow deer living in a coastal Mediterranean forest, XXI Congress of the International Union of Game Biologists, Proceedings Vol. 2, Halifax, Canada, 15-20. August 1993, D. Thompson Editor, 319-326.

   P.MARCELLINI, Everywhere regularity for some variational vector valued problems, Proceed. "Calculus of Variations, Homogenization and Continuum Machanics", edited by G.Bouchitte  , G.Buttazzo and P.Suquet, CIRM-Luminy, Series on Advances in Math. for Applied Sciences, Vol. 18, World Sc., 1994, 237-246.

   S.FOCARDI-P.MARCELLINI, A mathematical framework for optimal foraging of herbivores, J. Math. Biology, 33 (1995), 365-387.   1995_Focardi_Marcellini_A_mathematical_framework_for_optimal_foraging_of_herbivores.pdf

   B.DACOROGNA-P.MARCELLINI, Existence of minimizers for non quasiconvex integrals, Arch. Rational Mech. Anal., 131 (1995), 359-399.   1995_Dacorogna_Marcellini_Existence_of_minimizers_for_non-quasiconvex_integrals.pdf

   P.MARCELLINI-K.MILLER, Regularization for prescribed mean curvature and for motion by mean curvature, Proceedings of the Internat. Conference "Curvature flows and related topics", Levico (Trento) 1994, edited by A.Damlamiam, J.Spruck and A.Visintin, Gakuto Internat. Series, Math. Sciences Appl., 5 (1995), 145-158.

   P.MARCELLINI, Some problems of existence, uniqueness and regularity in the calculus of variations, Proc. of the First World Congress of Nonlinear Analysts, Tampa (Florida), Walter de Gruyter, Berlin, New York, 1996, 2089-2095.

   P.MARCELLINI, Everywhere regularity for a class of elliptic systems without growth conditions, Ann. Scuola Norm. Sup. Pisa Cl. Sci., 23 (1996), 1-25.   1996_Marcellini_Everywhere_regularity_for_a_class_of_elliptic_systems_without_growth_conditions.pdf

   L.BOCCARDO-T.GALLOUET-P.MARCELLINI, Anisotropic equations in L^1, Differential and Integral Equations, 9 (1996), 209-212.

   P.MARCELLINI, On some non convex variational problems, Progress in PDE: the Metz Surveys 4, M.Chipot and I.Shafrir ed., Pitman Research Notes in Math. Series 345, Longam, Harlow (UK), 1996, 106-117.

   S.FOCARDI-P.MARCELLINI-P.MONTANARO, Do ungulates exhibit a food density threshold? A field study of optimal foraging and movement patterns, Journal of Animal Ecology, 65 (1996), 606-620.   1996_Focardi_Marcellini_Montanaro_Do_Ungulates_Exhibit_a_Food_Density_Threshold.pdf

50

   P.MARCELLINI, General growth conditions and regularity, Proceedings of the meeting "Variational methods for discontinuous structures", Villa Olmo (Como) 1994, edited by R.Serapioni and F.Tomarelli, Progress in Nonlinear Differential Equations and Their Appl., 25 (1996), 111-118.

   S.FOCARDI-P.MARCELLINI, An application of the calculus of variations to the study of optimal foraging, Partial Differential Equations and Appl., Lecture Notes in Pure and Applied Math., n. 177, edited by P.Marcellini et al., Marcel Dekker Ed., New York, 1996, 155-164.

   B.DACOROGNA-P.MARCELLINI, Theoremes d'existence dans le cas scalaire et vectoriel pour les equations de Hamilton-Jacobi, C. R. Acad. Sci. Paris, 322 (1996), 237-240.

   P.MARCELLINI, Regularity for some scalar variational problems under general growth conditions, J. Optim. Theory Appl., 90 (1996), 161-181.   1996_Marcellini_Regularity_for_some_scalar_variational_problems_under_general_growth_conditions.pdf

   B.DACOROGNA-P.MARCELLINI, Sur le problème de Cauchy-Dirichlet pour les systèmes d'équations non linéaires du premier ordre, C. R. Acad. Sci. Paris, 323 (1996), 599-602.

   I.FONSECA-P.MARCELLINI, Relaxation of multiple integrals in subcritical Sobolev spaces, J. Geometric Analysis, 7 (1997), 57-81.   1997_Fonseca_Marcellini_Relaxation_of_multiple_integrals_in_subcritical_Sobolev_spaces.pdf

   B.DACOROGNA-P.MARCELLINI, General existence theorems for Hamilton-Jacobi equations in the scalar and vectorial cases, Acta Mathematica, 178 (1997), 1-37.   1997_Dacorogna_Marcellini_General_existence_theorems_for_Hamilton-Jacobi_equations_in_the_scalar_and_vectorial_cases.pdf

   P.MARCELLINI-K.MILLER, Elliptic versus parabolic regularization for the equation of prescribed mean curvature, J. Differential Equations, 137 (1997), 1-53.   1997_Marcellini_Miller_Elliptic_versus_parabolic_regularization_for_the_equation_of_prescribed_mean_curvature.pdf

   B.DACOROGNA-P.MARCELLINI, Dirichlet problem for nonlinear first order partial differential equations, Proceedings from the 1996 Joint Summer Research Conference on Optimization Methods in PDE's, edited by S. Cox and I. Lasiecka, Am. Math. Soc., Providence, R. I., 1997, 43-57.

   P.MARCELLINI, Alcuni recenti sviluppi nei problemi 19-simo e 20-simo di Hilbert, Boll. Un. Mat. Ital., 11-A (1997), 323-352.   1997_Marcellini_Alcuni_recenti_sviluppi_nei_problemi_19-simo_e_20-simo_di_Hilbert.pdf

60

   B.DACOROGNA-P.MARCELLINI, Implicit second order partial differential equations, Ann. Scuola Norm. Sup. Pisa Cl. Sci., 25 (1997), 299-328.

   N.FUSCO-P.MARCELLINI-A.ORNELAS, Existence of minimizers for some nonconvex one-dimensional integrals, Portugaliae Mathematica, 55 (1998), 167-185.

   B.DACOROGNA-P.MARCELLINI, Cauchy-Dirichlet problem for first order nonlinear systems, J. Functional Analysis, 152 (1998), 404-446.

   P.MARCELLINI-K.MILLER, Regularization for the mean curvature equation, Atti Sem. Mat. Fis. Univ. Modena, 46 (1998), 213-223.

   L.AMBROSIO-I.FONSECA-P.MARCELLINI-L.TARTAR, On a volume constrained problem, Arch. Rational Mech. Anal., 149 (1999), 21-47.

   B.DACOROGNA-P.MARCELLINI, On the solvability of implicit nonlinear systems in the vectorial case; Nonlinear Partial Differential Eq., Gui-Qiang Chen et al. Editors, AMS series of Contemporary Mathematics, Vol. 238, 1999, 89-113.

   B.DACOROGNA-P.MARCELLINI, Attainment of minima and implicit partial differential equations; Ricerche di Matematica, 48 (1999), 311-346.

   B.DACOROGNA-P.MARCELLINI, Implicit partial differential equations, Birkhauser, Boston, 1999.

   B.DACOROGNA-P.MARCELLINI-C.TANTERI, Equations de type implicite avec contraintes, C. R. Acad. Sci. Paris, 330 (2000), 271-274.

   I.FONSECA-N.FUSCO-P.MARCELLINI, An existence result for a nonconvex variational problem via regularity, Control, Optimization and Calculus of Variations, 7 (2002), 69-95.

70

   M.GORI-P.MARCELLINI, An extension of a Serrin's lower semicontinuity theorem, J. Convex Analysis, 9 (2002), 475-502.

   M.GORI-F.MAGGI-P.MARCELLINI, On some sharp conditions for lower semicontinuity in L^1, Differential and Integral Equations, 16 (2003), 51-76.

   I.FONSECA-N.FUSCO-P.MARCELLINI, On the Total Variation of the Jacobian, J. Functional Analysis, 207 (2004), 1-32.

   B.DACOROGNA-P.MARCELLINI, Viscosity solutions, almost everywhere solutions and explicit formulas, Trans. Amer. Math. Soc., 356 (2004), 4643-4653.

   I.FONSECA-N.FUSCO-P.MARCELLINI, Topological Degree, Jacobian Determinants and Relaxation, Boll. Un. Mat. Ital., 8 (2005), 187-250.

   P.MARCELLINI-G.PAPI, Nonlinear elliptic systems with general growth, J. Differential Equations, 221 (2006), 412-443.

   P.MARCELLINI, Some regularity results in partial differential equations with general growth conditions, Proceedings of the Workshop “New developments in the calculus of variations”, Università degli Studi del Sannio, Edizioni Scientifiche Italiane, Napoli 2006, 129-150.

   B.DACOROGNA-P.MARCELLINI-E.PAOLINI, An explicit solution to a system of implicit differential equations, Annales de L’Institut Henri Poincaré. Analyse Non Linéaire, 25 (2008), 163-171.

   B.DACOROGNA-P.MARCELLINI Editors, Calculus of Variations and Non-Linear Partial Differential Equations, CIME Course June 27-July 2, 2005, Springer Lecture Notes, Vol. 1927 (2008).

   B.DACOROGNA-P.MARCELLINI-E.PAOLINI, Lipschitz-continuous local isometric immersions: rigid maps and origami, Journal Math. Pures et Appl., 90 (2008), 66-81.

80

   P.MARCELLINI, Some notes on implicit partial differential equations, Proceedings of Fourth JSIAM-SIMAI Seminar on Industrial and Applied Mathematics, Garuto International Series, Mathematical Sciences and Applications, Vol. 28, Tokyo 2008, 79-91.

   M.AMAR-V.DE CICCO-P.MARCELLINI-E.MASCOLO, Weak lower semicontinuity for non coercive polyconvex integrals, Advances in Calculus of Variations, 1 (2008), 171-191.

   B.DACOROGNA-P.MARCELLINI-E.PAOLINI, On the n-dimensional Dirichlet problem for isometric maps, J. Funct. Anal., 255 (2008), 3274-3280.

   G.CUPINI-P.MARCELLINI-E.MASCOLO, Regularity under sharp anisotropic general growth conditions, Discrete Contin. Dyn. Systems, Ser. B, 11 (2009), 66-86.

   B.DACOROGNA-P.MARCELLINI-E.PAOLINI, Functions with orthogonal Hessian, Differential and Integral Eq., 23 (2010), 51-60.

   B.DACOROGNA-P.MARCELLINI-E.PAOLINI, Origami and Partial Differential Equations, Notices of the American Mathematical Society, 57 (2010), 598-606.  http://www.ams.org/notices/201005/rtx100500598p.pdf

   G.CUPINI-P.MARCELLINI-E.MASCOLO, Local boundedness of solutions to quasilinear elliptic systems, Manuscripta Math., 137 (2012), 287-315.

   P.MARCELLINI-E.PAOLINI, Origami and Partial Differential Equations. In: M. EMMER. Imagine Math., Edited by Springer, Milano (2012), 241-250.

   B.DACOROGNA-P.MARCELLINI-E.PAOLINI, The two well problem for piecewise affine maps, Adv. Differential Equations, 17 (2012),  673–696.

  V.BÖGELEIN-F.DUZAAR-P.MARCELLINI, Parabolic equations with p,q-growth, Journal de Mathématiques Pures et Appliquées, 100 (2013), 535-563.

90

   B.DACOROGNA-P.MARCELLINI-E.PAOLINI, The degenerate two well problem for piecewise affine maps, Nonlinear Differential Equations and Applications NoDEA, 20 (2013), 345-359.

  V.BÖGELEIN-F.DUZAAR-P.MARCELLINI, Parabolic systems with p,q-growth: a variational approach, Archive for Rational Mechanics and Analysis, 210 (2013), p. 219-267.

   G.CUPINI-P.MARCELLINI-E.MASCOLO, Local boundedness of solutions to some anisotropic elliptic systems, Contemporary Mathematics, American Mathematical Society, 595 (2013), 169-186.

  M.FOCARDI-N.FUSCO-C.LEONE-P.MARCELLINI-E.MASCOLO-A.VERDE, Weak lower semicontinuity for polyconvex integrals in the limit case, Calculus of Variations and Partial Differential Equations, 51 (2014), 171-193.

   G.CUPINI-P.MARCELLINI-E.MASCOLO, Existence and regularity for elliptic equations under p,q-growth, Advances in Differential Equations, 19 (2014), 693-724.

  F.G.DUZGUN-P.MARCELLINI-V.VESPRI, Space expansion for a solution of an anisotropic p-Laplacian equation by using a parabolic approach, Rivista Matematica dell’Università di Parma, 5 (2014), 93-111.

  V.BÖGELEIN-F.DUZAAR-P.MARCELLINI, Existence of evolutionary variational solutions via the calculus of variations, J. Differential Equations, 256 (2014), 3912-3942.

  F.G.DUZGUN-P.MARCELLINI-V.VESPRI, An alternative approach to the Hölder continuity of solutions to some elliptic equations, Nonlinear Analysis, 94 (2014), 133-141.

  M.FOCARDI-P.MARCELLINI, On the lower semicontinuity of quasiconvex integrals, Bulletin of Institute of Mathematics Academia Sinica, 9 (2014), 245-265.

  V.BÖGELEIN-F.DUZAAR-P.MARCELLINI, A time dependent variational approach to image restoration, SIAM J. on Imaging Sciences, 8 (2015), 968-1006.

100

  G.CUPINI-P.MARCELLINI-E.MASCOLO, Local boundedness of minimizers with limit growth conditions, J. Optimization Theory Appl., 166 (2015) 1-22.   https://doi.org/10.1007/s10957-015-0722-z

  V.BÖGELEIN-F.DUZAAR-P.MARCELLINI-S.SIGNORIELLO, Nonlocal diffusion equations, J. Math. Analysis Appl., 432 (2015), 398-428.   https://doi.org/10.1016/j.jmaa.2015.06.053

  M.ELEUTERI-P.MARCELLINI-E.MASCOLO, Lipschitz continuity for energy integrals with variable exponents. Atti Accademia Naz. Lincei, 27 (2016), 61-87.   C:/Users/hp/AppData/Local/Temp/RLM-2016-027-001-06.pdf

  M.ELEUTERI-P.MARCELLINI-E.MASCOLO, Lipschitz estimates for systems with ellipticity conditions at infinity, Annali Matematica Pura Appl., 195 (2016), 1575-1603.   https://doi.org/10.1007/s10231-015-0529-4

  V.BÖGELEIN-F.DUZAAR-P.MARCELLINI-S.SIGNORIELLO, Parabolic equations and the bounded slope condition, Annales de l'Institut Henri Poincaré (C) Analyse Non Linéaire, 34 (2017), 355-379.   https://doi.org/10.1016/j.anihpc.2015.12.005

  G.CUPINI-P.MARCELLINI-E.MASCOLO, Regularity of minimizers under limit growth conditions, Nonlinear Analysis, 153 (2017), 294–310.   https://doi.org/10.1016/j.na.2016.06.002

  V.BÖGELEIN-F.DUZAAR-P.MARCELLINI-C.SCHEVEN, Doubly nonlinear equations of porous medium type, Arch. Rational Mech. Anal., 229 (2018), 503–545.   https://doi.org/10.1007/s00205-018-1221-9

  V.BÖGELEIN-F.DUZAAR-P.MARCELLINI-C.SCHEVEN, A variational approach to doubly nonlinear equations, Rend. Lincei Mat. Appl., 29 (2018), 739-772.    https://doi.org/10.4171/RLM/832

  G.CUPINI-P.MARCELLINI-E.MASCOLO, Nonuniformly elliptic energy integrals with p,q-growth, Nonlinear Analysis, 177 (2018), 312–324.    https://doi.org/10.1016/j.na.2018.03.018

  M.ELEUTERI-P.MARCELLINI-E.MASCOLO, Local Lipschitz continuity of minimizers with mild assumptions on the x-dependence, Discrete Cont. Dinamical Systems, 12 (2019), 251–265.   http://www.aimsciences.org/article/doi/10.3934/dcdss.2019018

110

  M.ELEUTERI-P.MARCELLINI-E.MASCOLO, Regularity for scalar integrals without structure conditions, Advances in Calculus of Variations, 13 (2020), 279-300.    https://doi.org/10.1515/acv-2017-0037

  T. DI MARCO-P.MARCELLINI, A-priori gradient bound for elliptic systems under either slow or fast growth conditions, Calc. Var. Partial Differential Equations, 59 (2020), No. 120, 26 pp.   https://doi.org/10.1007/s00526-020-01769-7

  P.MARCELLINI, Regularity under general and p,q-growth conditions, Discrete Cont. Din. Systems, S Series, 13 (2020), 2009-2031.    https://www.aimsciences.org/article/doi/10.3934/dcdss.2020155

  P.MARCELLINI, A variational approach to parabolic equations under general and p,q-growth conditions, Nonlinear Analysis, 194 (2020), 111456, 17 pp. https://doi.org/10.1016/j.na.2019.02.010

  P.MARCELLINI, Anisotropic and p, q‑nonlinear partial differential equations, Rendiconti Lincei. Scienze Fisiche e Naturali, 31 (2020), 295-301

https://doi.org/10.1007/s12210-020-00885-y

  V.BÖGELEIN-B.DACOROGNA-F.DUZAAR-P.MARCELLINI-C.SCHEVEN, Integral convexity and parabolic systems, SIAM Journal on

Mathematical Analysis (SIMA), 52 (2020), 1489-1525.   https://doi.org/10.1137/19M1287870

  P.MARCELLINI, Regularity for nonlinear elliptic equations and systems, Atti della Accademia Peloritana dei Pericolanti. Classe di Scienze Fisiche, Matematiche e Naturali, 98 (2020).   https://doi.org/10.1478/AAPP.98S2A10

  P.MARCELLINI, Growth conditions and regularity for weak solutions to nonlinear elliptic pdes, Journal of Mathematical Analysis and Applications, 2020, to appear.   https://doi.org/10.1016/j.jmaa.2020.124408

  P.MARCELLINI, Interior gradient bounds for nonlinear elliptic systems, Rend. Mat. Appl., 41 (2020), 301-323.   https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2020(3-4)/301-323.pdf

  V.BÖGELEIN-F.DUZAAR-P.MARCELLINI-C.SCHEVEN, Boundary regularity for elliptic systems with p,q-growth, submitted.

120

  P.MARCELLINI, Anisotropy versus inhomogeneity in the calculus of variations, Journal of Convex Analysis, 28 (2021), to appear.   http://www.heldermann.de/JCA/JCA28/JCA282/jca28033.htm

  G.CUPINI-P.MARCELLINI-E.MASCOLO-A.PASSARELLI DI NAPOLI, Lipschitz regularity for degenerate elliptic integrals with p,q-growth, submitted.

  M.ELEUTERI-P.MARCELLINI-E.MASCOLO-S.PERROTTA, Local Lipschitz continuity for energy integrals with slow growth, submitted.

123

 


 

Firenze, January 2nd 2021.

 

back to the home-page