Edit Profile (opens in new tab) Marcellini, Paolo Co-Author Distance Author ID: marcellini.paolo Published as: Marcellini, Paolo; Marcellini, P.; Marcellini, P more...less External Links: MGP · ORCID · Wikidata · GND · IdRef Documents Indexed: 120 Publications since 1973, including 2 Books and 1 Additional arXiv Preprint 3 Contributions as Editor Co-Authors: 41 Co-Authors with 87 Joint Publications 832 Co-Co-Authors all top 5 Co-Authors 36 single-authored 23 Dacorogna, Bernard 20 Mascolo, Elvira 11 Cupini, Giovanni 10 Bögelein, Verena 10 Duzaar, Frank 9 Paolini, Emanuele 9 Sbordone, Carlo 7 Fusco, Nicola 5 Fonseca, Irene 5 Miller, Keith D. 4 Eleuteri, Michela 4 Scheven, Christoph 3 Boccardo, Lucio 2 Düzgün, Fatma Gamze 2 Focardi, Matteo 2 Focardi, Stefano 2 Gori, Michele 2 Signoriello, Stefano 2 Vespri, Vincenzo Riccardo 1 Amar, Micol 1 Ambrosio, Luigi 1 Ball, John MacLeod 1 Botteron, Bernard 1 De Cicco, Virginia 1 De Filippis, Filomena 1 Di Marco, Tommaso 1 Eleuteri, Mchela 1 Gallouët, Thierry 1 Leone, Chiara 1 Leonetti, Francesco 1 Maggi, Francesco 1 Müller, Stefan 1 Nastasi, Antonella 1 Pacchiano Camacho, Cintia 1 Papi, Gloria 1 Passarelli di Napoli, Antonia 1 Perrotta, Stefania 1 Šverák, Vladimír 1 Talenti, Giorgio G. 1 Tanteri, Chiara 1 Tartar, Luc C. 1 Verde, Anna 1 Vesentini, Edoardo all top 5 Serials 8 Journal of Differential Equations 6 Archive for Rational Mechanics and Analysis 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Ricerche di Matematica 3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 3 Differential and Integral Equations 3 Comptes Rendus de l’Académie des Sciences. Série I 3 Journal of Convex Analysis 3 Advances in Calculus of Variations 2 Journal of Mathematical Analysis and Applications 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Journal of Functional Analysis 2 Journal of Optimization Theory and Applications 2 Manuscripta Mathematica 2 Bollettino della Unione Matemàtica Italiana. Serie VII. A 2 Calculus of Variations and Partial Differential Equations 2 Advances in Differential Equations 2 Bollettino della Unione Matematica Italiana. Series IV 2 Lecture Notes in Mathematics 2 Discrete and Continuous Dynamical Systems. Series S 1 Applicable Analysis 1 Journal of Mathematical Biology 1 Acta Mathematica 1 Applied Mathematics and Optimization 1 Atti della Accademia Peloritana dei Pericolanti. Classe di Scienze Fisiche, Matemàtiche e Naturali 1 Portugaliae Mathematica 1 Transactions of the American Mathematical Society 1 Rendiconti del Seminario Matematico 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 The Journal of Geometric Analysis 1 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali 1 Atti del Seminario Matematico e Fisico dell’Università di Modena 1 SIAM Journal on Mathematical Analysis 1 Notices of the American Mathematical Society 1 NoDEA. Nonlinear Differential Equations and Applications 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione B. Articoli di Ricerca Matematica 1 Discrete and Continuous Dynamical Systems. Series B 1 Bollettino della Unione Matematica Italiana. Series V. B 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Rendiconti di Matematica, VI. Serie 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 Lecture Notes in Pure and Applied Mathematics 1 Unitext 1 SIAM Journal on Imaging Sciences 1 Rivista di Matematica della Università di Parma. New Series 1 Nonlinear Analysis. Theory, Methods & Applications 1 Progress in Nonlinear Differential Equations and Their Applications 1 Mathematics in Engineering all top 5 Fields 82 Partial differential equations (35-XX) 74 Calculus of variations and optimal control; optimization (49-XX) 9 Real functions (26-XX) 6 Mechanics of deformable solids (74-XX) 5 General and overarching topics; collections (00-XX) 5 Functional analysis (46-XX) 4 Ordinary differential equations (34-XX) 4 General topology (54-XX) 3 Differential geometry (53-XX) 3 Biology and other natural sciences (92-XX) 2 History and biography (01-XX) 2 Measure and integration (28-XX) 2 Sequences, series, summability (40-XX) 2 Operator theory (47-XX) 2 Numerical analysis (65-XX) 2 Operations research, mathematical programming (90-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Approximations and expansions (41-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 107 Publications have been cited 3,946 times in 1,662 Documents Cited by ▼ Year ▼ Regularity and existence of solutions of elliptic equations with p,q- growth conditions. Zbl 0724.35043 Marcellini, Paolo 553 1991 Regularity of minimizers of integrals of the calculus of variations with non-standard growth conditions. Zbl 0667.49032 Marcellini, Paolo 441 1989 Everywhere regularity for a class of elliptic systems without growth conditions. Zbl 0922.35031 Marcellini, Paolo 150 1996 Regularity for elliptic equations with general growth conditions. Zbl 0812.35042 Marcellini, Paolo 140 1993 On the definition and the lower semicontinuity of certain quasiconvex integrals. Zbl 0609.49009 Marcellini, Paolo 131 1986 Approximation of quasiconvex functions, and lower semicontinuity of multiple integrals. Zbl 0573.49010 Marcellini, Paolo 120 1985 Implicit partial differential equations. Zbl 0938.35002 Dacorogna, Bernard; Marcellini, Paolo 109 1999 Nonlinear elliptic systems with general growth. Zbl 1330.35131 Marcellini, Paolo; Papi, Gloria 91 2006 Parabolic systems with \({p,q}\)-growth: a variational approach. Zbl 1292.35146 Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo 89 2013 Growth conditions and regularity for weak solutions to nonlinear elliptic PDEs. Zbl 1512.35301 Marcellini, Paolo 80 2021 Periodic solutions and homogenization of non linear variational problems. Zbl 0395.49007 Marcellini, Paolo 80 1978 Lipschitz estimates for systems with ellipticity conditions at infinity. Zbl 1354.35035 Eleuteri, Michela; Marcellini, Paolo; Mascolo, Elvira 79 2016 General existence theorems for Hamilton-Jacobi equations in the scalar and vectorial cases. Zbl 0901.49027 Dacorogna, Bernard; Marcellini, Paolo 72 1997 Existence of evolutionary variational solutions via the calculus of variations. Zbl 1288.35007 Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo 69 2014 Anisotropic equations in \(L^ 1\). Zbl 0838.35048 Boccardo, L.; Gallouet, T.; Marcellini, P. 63 1996 Regularity for some scalar variational problems under general growth conditions. Zbl 0901.49030 Marcellini, P. 63 1996 Sulla convergenza delle soluzioni di disequazioni variazionali. Zbl 0333.35030 Boccardo, Lucio; Marcellini, Paolo 55 1976 L\({}^{\infty}\)-regularity for variational problems with sharp non- standard growth conditions. Zbl 0711.49058 Boccardo, Lucio; Marcellini, Paolo; Sbordone, Carlo 54 1990 Parabolic equations with \(p,q\)-growth. Zbl 1288.35302 Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo 54 2013 Regularity for scalar integrals without structure conditions. Zbl 1445.35159 Eleuteri, Michela; Marcellini, Paolo; Mascolo, Elvira 53 2020 Local boundedness of minimizers with limit growth conditions. Zbl 1325.49043 Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira 52 2015 Semicontinuity problems in the calculus of variations. Zbl 0537.49002 Marcellini, Paolo; Sbordone, Carlo 52 1980 An existence result for a nonconvex variational problem via regularity. Zbl 1044.49011 Fonseca, Irene; Fusco, Nicola; Marcellini, Paolo 51 2002 Lipschitz continuity for energy integrals with variable exponents. Zbl 1338.35169 Eleuteri, Mchela; Marcellini, Paolo; Mascolo, Elvira 51 2016 Regularity under general and \(p,q\)-growth conditions. Zbl 1439.35102 Marcellini, Paolo 46 2020 Regularity under sharp anisotropic general growth conditions. Zbl 1158.49040 Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira 44 2009 A variational approach to parabolic equations under general and \(p,q\)-growth conditions. Zbl 1436.35235 Marcellini, Paolo 43 2020 Regularity of minimizers under limit growth conditions. Zbl 1358.49032 Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira 43 2017 The stored-energy for some discontinuous deformations in nonlinear elasticity. Zbl 0679.73006 Marcellini, Paolo 40 1989 Local boundedness of solutions to quasilinear elliptic systems. Zbl 1235.35129 Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira 38 2012 Existence and regularity for elliptic equations under \(p,q\)-growth. Zbl 1305.35041 Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira 38 2014 Doubly nonlinear equations of porous medium type. Zbl 1394.35349 Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo; Scheven, Christoph 37 2018 Nonuniformly elliptic energy integrals with \(p, q\)-growth. Zbl 1403.49033 Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira 35 2018 A time dependent variational approach to image restoration. Zbl 1380.94012 Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo 33 2015 Homogenization of non-uniformly elliptic operators. Zbl 0406.35014 Marcellini, Paolo; Sbordone, Carlo 30 1978 Quasiconvex quadratic forms in two dimensions. Zbl 0567.49007 Marcellini, Paolo 28 1984 Local Lipschitz continuity for \(p, q\)-PDEs with explicit \(u\)-dependence. Zbl 1501.35188 Marcellini, P 26 2023 Relaxation of multiple integral in subcritical Sobolev spaces. Zbl 0915.49011 Fonseca, Irene; Marcellini, Paolo 25 1997 Non convex integrals of the calculus of variations. Zbl 0735.49002 Marcellini, Paolo 24 1990 A-priori gradient bound for elliptic systems under either slow or fast growth conditions. Zbl 1442.35049 Di Marco, Tommaso; Marcellini, Paolo 24 2020 Existence of minimizers for non-quasiconvex integrals. Zbl 0837.49002 Dacorogna, Bernard; Marcellini, Paolo 23 1995 A general approach to the existence of minimizers of one-dimensional non- coercive integrals of the calculus of variations. Zbl 0729.49002 Botteron, Bernard; Marcellini, Paolo 22 1991 Alcune osservazioni sull’esistenza del minimo di integrali del calcolo delle variazioni senza ipotesi di convessita. Zbl 0454.49015 Marcellini, Paolo 22 1980 Local boundedness of solutions to some anisotropic elliptic systems. Zbl 1294.35016 Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira 21 2013 Space expansion for a solution of an anisotropic \(p\)-Laplacian equation by using a parabolic approach. Zbl 1327.35113 Düzgün, Fatma Gamze; Marcellini, Paolo; Vespri, Vincenzo 20 2014 Semicontinuité pour des intégrandes polyconvexes sans continuité des déterminants. (Semicontinuity for polyconvex integrands without continuity of determinants). Zbl 0723.49007 Dacorogna, Bernard; Marcellini, Paolo 20 1990 On the existence of minima of multiple integrals of the calculus of variations. Zbl 0516.49011 Marcellini, Paolo; Sbordone, Carlo 20 1983 Local boundedness of weak solutions to elliptic equations with \(p, q\)-growth. Zbl 1539.35091 Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira 19 2023 A relation between existence of minima for non convex integrals and uniqueness for non strictly convex integrals of the calculus of variations. Zbl 0505.49009 Marcellini, Paolo 19 1983 An approach to the asymptotic behaviour of elliptic-parabolic operators. Zbl 0319.35013 Marcellini, Paolo; Sbordone, Carlo 19 1977 Nonlocal diffusion equations. Zbl 1332.35195 Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo; Signoriello, Stefano 17 2015 Existence of minimizers for some non convex one-dimensional integrals. Zbl 0912.49015 Fusco, N.; Marcellini, P.; Ornelas, A. 17 1998 Lipschitz regularity for degenerate elliptic integrals with \(p, q\)-growth. Zbl 1511.49001 Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira; Passarelli di Napoli, Antonia 17 2023 A variational approach to doubly nonlinear equations. Zbl 1407.35123 Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo; Scheven, Christoph 16 2018 A counterexample in the vectorial calculus of variations. Zbl 0641.49007 Dacorogna, Bernard; Marcellini, Paolo 16 1988 Parabolic equations and the bounded slope condition. Zbl 1372.35161 Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo; Signoriello, Stefano 16 2017 Elliptic versus parabolic regularization for the equation of prescribed mean curvature. Zbl 0890.35046 Marcellini, Paolo; Miller, Keith 16 1997 Integral convexity and parabolic systems. Zbl 1509.35146 Bögelein, Verena; Dacorogna, Bernard; Duzaar, Frank; Marcellini, Paolo; Scheven, Christoph 16 2020 An alternative approach to the Hölder continuity of solutions to some elliptic equations. Zbl 1284.35198 Düzgün, Fatma Gamze; Marcellini, Paolo; Vespri, Vincenzo 16 2014 Boundary regularity for elliptic systems with \(p,q\)-growth. Zbl 1487.35147 Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo; Scheven, Christoph 16 2022 Dualita e perturbazione di funzionali integrali. Zbl 0393.49007 Marcellini, P.; Sbordone, C. 15 1977 Su una convergenza di funzioni convesse. Zbl 0282.47014 Marcellini, Paolo 13 1973 Lipschitz-continuous local isometric immersions: rigid maps and origami. Zbl 1147.53042 Dacorogna, B.; Marcellini, P.; Paolini, E. 13 2008 Local Lipschitz continuity of minimizers with mild assumptions on the \(x\)-dependence. Zbl 1411.49022 Eleuteri, Michela; Marcellini, Paolo; Mascolo, Elvira 12 2019 Existence theorems for Hamilton-Jacobi equations in the scalar and the vectorial cases. (Théorèmes d’existence dans les cas scalaire et vectoriel pour les équations de Hamilton-Jacobi.) Zbl 0846.35028 Dacorogna, Bernard; Marcellini, Paolo 12 1996 On the total variation of the Jacobian. Zbl 1041.49016 Fonseca, Irene; Fusco, Nicola; Marcellini, Paolo 12 2004 Origami and partial differential equations. Zbl 1328.00022 Dacorogna, Bernard; Marcellini, Paolo; Paolini, Emanuele 12 2010 Local Lipschitz continuity for energy integrals with slow growth. Zbl 1491.35192 Eleuteri, Michela; Marcellini, Paolo; Mascolo, Elvira; Perrotta, Stefania 11 2022 Bounds for the third membrane eigenvalue. Zbl 0421.35066 Marcellini, Paolo 11 1980 On a volume-constrained variational problem. Zbl 0945.49005 Ambrosio, Luigi; Fonseca, Irene; Marcellini, Paolo; Tartar, Luc 10 1999 Cauchy-Dirichlet problem for first order nonlinear systems. (Sur le problème de Cauchy-Dirichlet pour les systèmes d’ équations non linéaires du premier ordre.) Zbl 0860.35020 Dacorogna, Bernard; Marcellini, Paolo 9 1996 An explicit solution to a system of implicit differential equations. Zbl 1141.35014 Dacorogna, Bernard; Marcellini, Paolo; Paolini, Emanuele 9 2008 Asymptotic growth for the parabolic equation of prescribed mean curvature. Zbl 0545.35044 Marcellini, Paolo; Miller, Keith 9 1984 Some remarks on uniqueness in the calculus of variations. Zbl 0521.49005 Marcellini, P. 8 1983 Un teorema di passaggio al limite per la somma di funzioni convesse. Zbl 0309.47033 Marcellini, Paolo 7 1975 On some sharp conditions for lower semicontinuity in \(L^1\). Zbl 1028.49012 Gori, Michele; Maggi, Francesco; Marcellini, Paolo 7 2003 An extension of the Serrin’s lower semicontinuity theorem. Zbl 1019.49021 Gori, Michele; Marcellini, Paolo 6 2002 On the solvability of implicit nonlinear systems in the vectorial case. Zbl 0945.35023 Dacorogna, Bernard; Marcellini, Paolo 6 1999 Convergence of second order linear elliptic operators. Zbl 0408.35028 Marcellini, Paolo 6 1979 Topological degree, Jacobian determinants and relaxation. Zbl 1177.49066 Fonseca, Irene; Fusco, Nicola; Marcellini, Paolo 6 2005 Sur quelques questions de G-convergence et d’homogeneisation non linéaire. Zbl 0353.49015 Marcellini, Paolo; Sbordone, Carlo 5 1977 On the \(n\)-dimensional Dirichlet problem for isometric maps. Zbl 1160.35374 Dacorogna, B.; Marcellini, P.; Paolini, E. 5 2008 Anisotropy versus inhomogeneity in the calculus of variations. Zbl 1467.35126 Marcellini, Paolo 4 2021 Functions with orthogonal Hessian. Zbl 1240.35073 Dacorogna, Bernard; Marcellini, Paolo; Paolini, Emanuele 4 2010 Weak lower semicontinuity for polyconvex integrals in the limit case. Zbl 1297.49018 Focardi, M.; Fusco, N.; Leone, C.; Marcellini, P.; Mascolo, E.; Verde, A. 4 2014 Some problems of semicontinuity and of \(\Gamma\)-convergence for integrals of the calculus of variations. Zbl 0405.49021 Marcellini, Paolo 4 1979 Regularity for nonuniformly elliptic equations with \(p, q\)-growth and explicit \(x, u\)-dependence. Zbl 07892811 Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira 4 2024 The Sobolev class where a weak solution is a local minimizer. Zbl 1534.35157 De Filippis, Filomena; Leonetti, Francesco; Marcellini, Paolo; Mascolo, Elvira 3 2023 Viscosity solutions, almost everywhere solutions and explicit formulas. Zbl 1069.34007 Dacorogna, Bernard; Marcellini, Paolo 3 2004 Weak lower semicontinuity for non coercive polyconvex integrals. Zbl 1146.49008 Amar, Micol; De Cicco, Virginia; Marcellini, Paolo; Mascolo, Elvira 3 2008 Interior gradient bounds for nonlinear elliptic systems. Zbl 1454.35005 Marcellini, Paolo 2 2020 Origami and partial differential equations. Zbl 1247.00053 Marcellini, Paolo; Paolini, Emanuele 2 2012 The two well problem for piecewise affine maps. Zbl 1258.35061 Dacorogna, Bernard; Marcellini, Paolo; Paolini, Emanuele 2 2012 Implicit type equations with constraints. (Équations de type implicite avec contraintes.) Zbl 0960.35004 Dacorogna, Bernard; Marcellini, Paolo; Tanteri, Chiara 2 2000 Relaxation of non convex variational problems. Zbl 0408.49017 Marcellini, Paolo; Sbordone, Carlo 2 1977 Some problems of \(\Gamma\)-convergence. Zbl 0552.49012 Marcellini, Paolo 1 1983 Regularization for prescribed mean curvature and for motion by mean curvature. Zbl 0837.35014 Marcellini, Paolo; Miller, Keith 1 1995 Partial differential equations and applications. Collected papers in honor of Carlo Pucci on the occasion of his 70th birthday. Zbl 0834.00042 1 1996 Some problems of existence, uniqueness and regularity in the calculus of variations. Zbl 0851.49016 Marcellini, Paolo 1 1996 Implicit second order partial differential equations. Zbl 1003.35043 Dacorogna, Bernard; Marcellini, Paolo 1 1997 The Leray-Lions existence theorem under general growth conditions. Zbl 07971471 Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira 1 2025 Regularity for nonuniformly elliptic equations with \(p, q\)-growth and explicit \(x, u\)-dependence. Zbl 07892811 Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira 4 2024 Local Lipschitz continuity for \(p, q\)-PDEs with explicit \(u\)-dependence. Zbl 1501.35188 Marcellini, P 26 2023 Local boundedness of weak solutions to elliptic equations with \(p, q\)-growth. Zbl 1539.35091 Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira 19 2023 Lipschitz regularity for degenerate elliptic integrals with \(p, q\)-growth. Zbl 1511.49001 Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira; Passarelli di Napoli, Antonia 17 2023 The Sobolev class where a weak solution is a local minimizer. Zbl 1534.35157 De Filippis, Filomena; Leonetti, Francesco; Marcellini, Paolo; Mascolo, Elvira 3 2023 Boundary regularity for elliptic systems with \(p,q\)-growth. Zbl 1487.35147 Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo; Scheven, Christoph 16 2022 Local Lipschitz continuity for energy integrals with slow growth. Zbl 1491.35192 Eleuteri, Michela; Marcellini, Paolo; Mascolo, Elvira; Perrotta, Stefania 11 2022 Mathematical analysis. Functions of several real variables and applications. Translated from the Italian by Nicola Fusco et. al. Zbl 1502.26003 Fusco, Nicola; Marcellini, Paolo; Sbordone, Carlo 1 2022 Growth conditions and regularity for weak solutions to nonlinear elliptic PDEs. Zbl 1512.35301 Marcellini, Paolo 80 2021 Anisotropy versus inhomogeneity in the calculus of variations. Zbl 1467.35126 Marcellini, Paolo 4 2021 Regularity for scalar integrals without structure conditions. Zbl 1445.35159 Eleuteri, Michela; Marcellini, Paolo; Mascolo, Elvira 53 2020 Regularity under general and \(p,q\)-growth conditions. Zbl 1439.35102 Marcellini, Paolo 46 2020 A variational approach to parabolic equations under general and \(p,q\)-growth conditions. Zbl 1436.35235 Marcellini, Paolo 43 2020 A-priori gradient bound for elliptic systems under either slow or fast growth conditions. Zbl 1442.35049 Di Marco, Tommaso; Marcellini, Paolo 24 2020 Integral convexity and parabolic systems. Zbl 1509.35146 Bögelein, Verena; Dacorogna, Bernard; Duzaar, Frank; Marcellini, Paolo; Scheven, Christoph 16 2020 Interior gradient bounds for nonlinear elliptic systems. Zbl 1454.35005 Marcellini, Paolo 2 2020 Regularity for nonlinear elliptic equations and systems. Zbl 1548.35131 Marcellini, Paolo 1 2020 Local Lipschitz continuity of minimizers with mild assumptions on the \(x\)-dependence. Zbl 1411.49022 Eleuteri, Michela; Marcellini, Paolo; Mascolo, Elvira 12 2019 Doubly nonlinear equations of porous medium type. Zbl 1394.35349 Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo; Scheven, Christoph 37 2018 Nonuniformly elliptic energy integrals with \(p, q\)-growth. Zbl 1403.49033 Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira 35 2018 A variational approach to doubly nonlinear equations. Zbl 1407.35123 Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo; Scheven, Christoph 16 2018 Regularity of minimizers under limit growth conditions. Zbl 1358.49032 Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira 43 2017 Parabolic equations and the bounded slope condition. Zbl 1372.35161 Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo; Signoriello, Stefano 16 2017 Lipschitz estimates for systems with ellipticity conditions at infinity. Zbl 1354.35035 Eleuteri, Michela; Marcellini, Paolo; Mascolo, Elvira 79 2016 Lipschitz continuity for energy integrals with variable exponents. Zbl 1338.35169 Eleuteri, Mchela; Marcellini, Paolo; Mascolo, Elvira 51 2016 Local boundedness of minimizers with limit growth conditions. Zbl 1325.49043 Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira 52 2015 A time dependent variational approach to image restoration. Zbl 1380.94012 Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo 33 2015 Nonlocal diffusion equations. Zbl 1332.35195 Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo; Signoriello, Stefano 17 2015 Existence of evolutionary variational solutions via the calculus of variations. Zbl 1288.35007 Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo 69 2014 Existence and regularity for elliptic equations under \(p,q\)-growth. Zbl 1305.35041 Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira 38 2014 Space expansion for a solution of an anisotropic \(p\)-Laplacian equation by using a parabolic approach. Zbl 1327.35113 Düzgün, Fatma Gamze; Marcellini, Paolo; Vespri, Vincenzo 20 2014 An alternative approach to the Hölder continuity of solutions to some elliptic equations. Zbl 1284.35198 Düzgün, Fatma Gamze; Marcellini, Paolo; Vespri, Vincenzo 16 2014 Weak lower semicontinuity for polyconvex integrals in the limit case. Zbl 1297.49018 Focardi, M.; Fusco, N.; Leone, C.; Marcellini, P.; Mascolo, E.; Verde, A. 4 2014 Parabolic systems with \({p,q}\)-growth: a variational approach. Zbl 1292.35146 Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo 89 2013 Parabolic equations with \(p,q\)-growth. Zbl 1288.35302 Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo 54 2013 Local boundedness of solutions to some anisotropic elliptic systems. Zbl 1294.35016 Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira 21 2013 The degenerate two well problem for piecewise affine maps. Zbl 1275.35081 Dacorogna, Bernard; Marcellini, Paolo; Paolini, Emanuele 1 2013 Local boundedness of solutions to quasilinear elliptic systems. Zbl 1235.35129 Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira 38 2012 Origami and partial differential equations. Zbl 1247.00053 Marcellini, Paolo; Paolini, Emanuele 2 2012 The two well problem for piecewise affine maps. Zbl 1258.35061 Dacorogna, Bernard; Marcellini, Paolo; Paolini, Emanuele 2 2012 Origami and partial differential equations. Zbl 1328.00022 Dacorogna, Bernard; Marcellini, Paolo; Paolini, Emanuele 12 2010 Functions with orthogonal Hessian. Zbl 1240.35073 Dacorogna, Bernard; Marcellini, Paolo; Paolini, Emanuele 4 2010 Regularity under sharp anisotropic general growth conditions. Zbl 1158.49040 Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira 44 2009 Lipschitz-continuous local isometric immersions: rigid maps and origami. Zbl 1147.53042 Dacorogna, B.; Marcellini, P.; Paolini, E. 13 2008 An explicit solution to a system of implicit differential equations. Zbl 1141.35014 Dacorogna, Bernard; Marcellini, Paolo; Paolini, Emanuele 9 2008 On the \(n\)-dimensional Dirichlet problem for isometric maps. Zbl 1160.35374 Dacorogna, B.; Marcellini, P.; Paolini, E. 5 2008 Weak lower semicontinuity for non coercive polyconvex integrals. Zbl 1146.49008 Amar, Micol; De Cicco, Virginia; Marcellini, Paolo; Mascolo, Elvira 3 2008 Nonlinear elliptic systems with general growth. Zbl 1330.35131 Marcellini, Paolo; Papi, Gloria 91 2006 Topological degree, Jacobian determinants and relaxation. Zbl 1177.49066 Fonseca, Irene; Fusco, Nicola; Marcellini, Paolo 6 2005 On the total variation of the Jacobian. Zbl 1041.49016 Fonseca, Irene; Fusco, Nicola; Marcellini, Paolo 12 2004 Viscosity solutions, almost everywhere solutions and explicit formulas. Zbl 1069.34007 Dacorogna, Bernard; Marcellini, Paolo 3 2004 On some sharp conditions for lower semicontinuity in \(L^1\). Zbl 1028.49012 Gori, Michele; Maggi, Francesco; Marcellini, Paolo 7 2003 An existence result for a nonconvex variational problem via regularity. Zbl 1044.49011 Fonseca, Irene; Fusco, Nicola; Marcellini, Paolo 51 2002 An extension of the Serrin’s lower semicontinuity theorem. Zbl 1019.49021 Gori, Michele; Marcellini, Paolo 6 2002 Implicit type equations with constraints. (Équations de type implicite avec contraintes.) Zbl 0960.35004 Dacorogna, Bernard; Marcellini, Paolo; Tanteri, Chiara 2 2000 Implicit partial differential equations. Zbl 0938.35002 Dacorogna, Bernard; Marcellini, Paolo 109 1999 On a volume-constrained variational problem. Zbl 0945.49005 Ambrosio, Luigi; Fonseca, Irene; Marcellini, Paolo; Tartar, Luc 10 1999 On the solvability of implicit nonlinear systems in the vectorial case. Zbl 0945.35023 Dacorogna, Bernard; Marcellini, Paolo 6 1999 Attainment of minima and implicit partial differential equations. Zbl 0939.49013 Dacorogna, Bernard; Marcellini, Paolo 1 1999 Existence of minimizers for some non convex one-dimensional integrals. Zbl 0912.49015 Fusco, N.; Marcellini, P.; Ornelas, A. 17 1998 General existence theorems for Hamilton-Jacobi equations in the scalar and vectorial cases. Zbl 0901.49027 Dacorogna, Bernard; Marcellini, Paolo 72 1997 Relaxation of multiple integral in subcritical Sobolev spaces. Zbl 0915.49011 Fonseca, Irene; Marcellini, Paolo 25 1997 Elliptic versus parabolic regularization for the equation of prescribed mean curvature. Zbl 0890.35046 Marcellini, Paolo; Miller, Keith 16 1997 Implicit second order partial differential equations. Zbl 1003.35043 Dacorogna, Bernard; Marcellini, Paolo 1 1997 Dirichlet problem for nonlinear first order partial differential equations. Zbl 0882.35031 Dacorogna, Bernard; Marcellini, Paolo 1 1997 Some recent developments in the 19th and 20th Hilbert problems. Zbl 0886.49014 Marcellini, Paolo 1 1997 Everywhere regularity for a class of elliptic systems without growth conditions. Zbl 0922.35031 Marcellini, Paolo 150 1996 Anisotropic equations in \(L^ 1\). Zbl 0838.35048 Boccardo, L.; Gallouet, T.; Marcellini, P. 63 1996 Regularity for some scalar variational problems under general growth conditions. Zbl 0901.49030 Marcellini, P. 63 1996 Existence theorems for Hamilton-Jacobi equations in the scalar and the vectorial cases. (Théorèmes d’existence dans les cas scalaire et vectoriel pour les équations de Hamilton-Jacobi.) Zbl 0846.35028 Dacorogna, Bernard; Marcellini, Paolo 12 1996 Cauchy-Dirichlet problem for first order nonlinear systems. (Sur le problème de Cauchy-Dirichlet pour les systèmes d’ équations non linéaires du premier ordre.) Zbl 0860.35020 Dacorogna, Bernard; Marcellini, Paolo 9 1996 Partial differential equations and applications. Collected papers in honor of Carlo Pucci on the occasion of his 70th birthday. Zbl 0834.00042 1 1996 Some problems of existence, uniqueness and regularity in the calculus of variations. Zbl 0851.49016 Marcellini, Paolo 1 1996 Existence of minimizers for non-quasiconvex integrals. Zbl 0837.49002 Dacorogna, Bernard; Marcellini, Paolo 23 1995 Regularization for prescribed mean curvature and for motion by mean curvature. Zbl 0837.35014 Marcellini, Paolo; Miller, Keith 1 1995 Regularity for elliptic equations with general growth conditions. Zbl 0812.35042 Marcellini, Paolo 140 1993 Regularity and existence of solutions of elliptic equations with p,q- growth conditions. Zbl 0724.35043 Marcellini, Paolo 553 1991 A general approach to the existence of minimizers of one-dimensional non- coercive integrals of the calculus of variations. Zbl 0729.49002 Botteron, Bernard; Marcellini, Paolo 22 1991 L\({}^{\infty}\)-regularity for variational problems with sharp non- standard growth conditions. Zbl 0711.49058 Boccardo, Lucio; Marcellini, Paolo; Sbordone, Carlo 54 1990 Non convex integrals of the calculus of variations. Zbl 0735.49002 Marcellini, Paolo 24 1990 Semicontinuité pour des intégrandes polyconvexes sans continuité des déterminants. (Semicontinuity for polyconvex integrands without continuity of determinants). Zbl 0723.49007 Dacorogna, Bernard; Marcellini, Paolo 20 1990 Regularity of minimizers of integrals of the calculus of variations with non-standard growth conditions. Zbl 0667.49032 Marcellini, Paolo 441 1989 The stored-energy for some discontinuous deformations in nonlinear elasticity. Zbl 0679.73006 Marcellini, Paolo 40 1989 A counterexample in the vectorial calculus of variations. Zbl 0641.49007 Dacorogna, Bernard; Marcellini, Paolo 16 1988 On the definition and the lower semicontinuity of certain quasiconvex integrals. Zbl 0609.49009 Marcellini, Paolo 131 1986 Approximation of quasiconvex functions, and lower semicontinuity of multiple integrals. Zbl 0573.49010 Marcellini, Paolo 120 1985 Quasiconvex quadratic forms in two dimensions. Zbl 0567.49007 Marcellini, Paolo 28 1984 Asymptotic growth for the parabolic equation of prescribed mean curvature. Zbl 0545.35044 Marcellini, Paolo; Miller, Keith 9 1984 On the existence of minima of multiple integrals of the calculus of variations. Zbl 0516.49011 Marcellini, Paolo; Sbordone, Carlo 20 1983 A relation between existence of minima for non convex integrals and uniqueness for non strictly convex integrals of the calculus of variations. Zbl 0505.49009 Marcellini, Paolo 19 1983 Some remarks on uniqueness in the calculus of variations. Zbl 0521.49005 Marcellini, P. 8 1983 Some problems of \(\Gamma\)-convergence. Zbl 0552.49012 Marcellini, Paolo 1 1983 Semicontinuity problems in the calculus of variations. Zbl 0537.49002 Marcellini, Paolo; Sbordone, Carlo 52 1980 Alcune osservazioni sull’esistenza del minimo di integrali del calcolo delle variazioni senza ipotesi di convessita. Zbl 0454.49015 Marcellini, Paolo 22 1980 Bounds for the third membrane eigenvalue. Zbl 0421.35066 Marcellini, Paolo 11 1980 Convergence of second order linear elliptic operators. Zbl 0408.35028 Marcellini, Paolo 6 1979 Some problems of semicontinuity and of \(\Gamma\)-convergence for integrals of the calculus of variations. Zbl 0405.49021 Marcellini, Paolo 4 1979 Periodic solutions and homogenization of non linear variational problems. Zbl 0395.49007 Marcellini, Paolo 80 1978 Homogenization of non-uniformly elliptic operators. Zbl 0406.35014 Marcellini, Paolo; Sbordone, Carlo 30 1978 ...and 7 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,267 Authors 61 Marcellini, Paolo 52 Papageorgiou, Nikolaos S. 50 Rădulescu, Vicenţiu D. 37 Leonetti, Francesco 37 Mingione, Giuseppe 36 Passarelli di Napoli, Antonia 32 Winkert, Patrick 31 Mascolo, Elvira 25 Dacorogna, Bernard 25 De Filippis, Cristiana 25 Zhang, Qihu 24 Bögelein, Verena 22 Duzaar, Frank 20 Byun, Sun-Sig 20 Cupini, Giovanni 20 Fonseca, Irene 20 Fuchs, Martin 20 Fusco, Nicola 20 Zeng, Shengda 19 Skrypnik, Igor Igorievich 18 Verde, Anna 17 Fan, Xianling 17 Giannetti, Flavia 17 Ok, Jihoon 17 Scheven, Christoph 17 Vespri, Vincenzo Riccardo 16 Boccardo, Lucio 16 Chlebicka, Iwona 16 Giova, Raffaella 15 Buttazzo, Giuseppe 15 Carozza, Menita 15 Dal Maso, Gianni 15 Kristensen, Jan 15 Repovš, Dušan D. 15 Yan, Baisheng 14 Azroul, Elhoussine 14 Cianchi, Andrea 14 De Arcangelis, Riccardo 14 Stroffolini, Bianca 14 Zhang, Chao 13 Bildhauer, Michael 13 Gao, Hongya 13 Hästö, Peter A. 13 Tachikawa, Atsushi 12 Harjulehto, Petteri 12 Sbordone, Carlo 12 Sychev, Mikhail A. 11 Bousquet, Pierre 11 Gasiński, Leszek 11 Leone, Chiara 11 Moscariello, Gioconda 11 Schäffner, Mathias 11 Zheng, Shenzhou 10 Acerbi, Emilio 10 Allalou, Chakir 10 Bai, Yunru 10 Diening, Lars 10 Eleuteri, Michela 10 Fiscella, Alessio 10 Kim, Seonghak 10 Ragusa, Maria Alessandra 10 Schätzler, Leah 10 Zagatti, Sandro 9 Ambrosio, Vincenzo 9 Balaadich, Farah 9 Brasco, Lorenzo 9 Bulíček, Miroslav 9 Cellina, Arrigo 9 Ge, Bin 9 Granucci, Tiziano 9 Katzourakis, Nikolaos I. 9 Müller, Stefan 9 Vetro, Calogero 8 Alberico, Angela 8 Arora, Rakesh 8 Colombo, Maria 8 Conti, Sergio 8 Fang, Yuzhou 8 Feo, Filomena 8 Grimaldi, Antonio Giuseppe 8 Liu, Zhenhai 8 Ponte Castañeda, Pedro 8 Vetro, Francesca 8 Zatorska-Goldstein, Anna 7 Amar, Micol 7 Baasandorj, Sumiya 7 Braides, Andrea 7 Breit, Dominic 7 Ciani, Simone 7 De Cicco, Virginia 7 El Ouaarabi, Mohamed 7 Esposito, Luca 7 Isernia, Teresa 7 Koch, Lukas 7 Liu, Wulong 7 Malý, Jan 7 Melliani, Said 7 Neff, Patrizio 7 Oh, Jehan 7 Petricca, Pier Vincenzo ...and 1,167 more Authors all top 5 Cited in 244 Serials 129 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 96 Journal of Mathematical Analysis and Applications 96 Calculus of Variations and Partial Differential Equations 73 Journal of Differential Equations 59 Archive for Rational Mechanics and Analysis 54 Annali di Matematica Pura ed Applicata. Serie Quarta 48 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 35 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 34 Manuscripta Mathematica 33 Advances in Calculus of Variations 31 Advances in Nonlinear Analysis 29 NoDEA. Nonlinear Differential Equations and Applications 28 Journal de Mathématiques Pures et Appliquées. Neuvième Série 27 Nonlinear Analysis. Theory, Methods & Applications 26 Journal of Functional Analysis 25 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 22 Journal of Optimization Theory and Applications 22 Nonlinear Analysis. Real World Applications 17 Communications in Partial Differential Equations 15 Journal of Mathematical Sciences (New York) 15 Communications on Pure and Applied Analysis 14 SIAM Journal on Mathematical Analysis 14 Journal of Evolution Equations 14 Discrete and Continuous Dynamical Systems. Series S 14 Journal of Elliptic and Parabolic Equations 13 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 13 The Journal of Geometric Analysis 13 Mediterranean Journal of Mathematics 12 Mathematische Nachrichten 12 Proceedings of the American Mathematical Society 12 Transactions of the American Mathematical Society 12 Mathematics in Engineering 11 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 11 Zeitschrift für Analysis und ihre Anwendungen 11 Forum Mathematicum 10 Mathematical Methods in the Applied Sciences 10 Applied Mathematics and Optimization 10 Mathematische Annalen 10 Comptes Rendus. Mathématique. Académie des Sciences, Paris 9 Applicable Analysis 8 Journal of the Mechanics and Physics of Solids 8 ZAMP. Zeitschrift für angewandte Mathematik und Physik 8 Rendiconti del Circolo Matemàtico di Palermo. Serie II 8 Asymptotic Analysis 8 Potential Analysis 8 Journal of Convex Analysis 8 Communications in Contemporary Mathematics 8 Boundary Value Problems 7 Rendiconti del Seminario Matematico della Università di Padova 7 Journal of Elasticity 6 Journal d’Analyse Mathématique 6 Nonlinearity 6 Journal of Inequalities and Applications 6 Advanced Nonlinear Studies 6 Complex Variables and Elliptic Equations 6 Analysis & PDE 6 Analysis and Mathematical Physics 5 Israel Journal of Mathematics 5 Bulletin of the London Mathematical Society 5 Numerische Mathematik 5 Ricerche di Matematica 5 RAIRO. Modélisation Mathématique et Analyse Numérique 5 Journal of Nonlinear Science 5 Electronic Journal of Differential Equations (EJDE) 5 Opuscula Mathematica 5 Discrete and Continuous Dynamical Systems 5 Mathematics and Mechanics of Solids 5 Communications in Nonlinear Science and Numerical Simulation 5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 4 Computers & Mathematics with Applications 4 Computer Methods in Applied Mechanics and Engineering 4 Journal of Mathematical Physics 4 Indiana University Mathematics Journal 4 Journal of the London Mathematical Society. Second Series 4 Mathematische Zeitschrift 4 Rendiconti del Seminario Matemàtico e Fisico di Milano 4 Results in Mathematics 4 Siberian Mathematical Journal 4 Chinese Annals of Mathematics. Series B 4 Applications of Mathematics 4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 4 Topological Methods in Nonlinear Analysis 4 St. Petersburg Mathematical Journal 4 Annales Academiae Scientiarum Fennicae. Mathematica 4 Interfaces and Free Boundaries 4 Journal of the European Mathematical Society (JEMS) 4 Milan Journal of Mathematics 4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 4 Journal of Function Spaces 3 Communications on Pure and Applied Mathematics 3 Rocky Mountain Journal of Mathematics 3 Advances in Mathematics 3 Archiv der Mathematik 3 Czechoslovak Mathematical Journal 3 Mathematica Slovaca 3 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 3 Acta Applicandae Mathematicae 3 Revista Matemática Iberoamericana 3 Continuum Mechanics and Thermodynamics 3 Bulletin des Sciences Mathématiques ...and 144 more Serials all top 5 Cited in 46 Fields 1,146 Partial differential equations (35-XX) 729 Calculus of variations and optimal control; optimization (49-XX) 164 Mechanics of deformable solids (74-XX) 143 Functional analysis (46-XX) 87 Operator theory (47-XX) 60 Real functions (26-XX) 57 Global analysis, analysis on manifolds (58-XX) 35 Numerical analysis (65-XX) 34 Fluid mechanics (76-XX) 31 Ordinary differential equations (34-XX) 21 Harmonic analysis on Euclidean spaces (42-XX) 19 Functions of a complex variable (30-XX) 18 Potential theory (31-XX) 17 Measure and integration (28-XX) 17 General topology (54-XX) 14 Differential geometry (53-XX) 12 Operations research, mathematical programming (90-XX) 11 Probability theory and stochastic processes (60-XX) 10 Convex and discrete geometry (52-XX) 10 Computer science (68-XX) 10 Optics, electromagnetic theory (78-XX) 10 Statistical mechanics, structure of matter (82-XX) 9 Information and communication theory, circuits (94-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Integral equations (45-XX) 7 Biology and other natural sciences (92-XX) 6 History and biography (01-XX) 6 Mechanics of particles and systems (70-XX) 6 Systems theory; control (93-XX) 4 General and overarching topics; collections (00-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Approximations and expansions (41-XX) 3 Algebraic topology (55-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Algebraic geometry (14-XX) 2 Geometry (51-XX) 2 Relativity and gravitational theory (83-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Manifolds and cell complexes (57-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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