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: 117 Publications since 1973, including 2 Books and 2 Additional arXiv Preprints 3 Contributions as Editor Co-Authors: 39 Co-Authors with 86 Joint Publications 804 Co-Co-Authors all top 5 Co-Authors 34 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 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 7 Journal of Differential Equations 5 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 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 Journal of Convex Analysis 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 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 80 Partial differential equations (35-XX) 72 Calculus of variations and optimal control; optimization (49-XX) 8 Real functions (26-XX) 6 Mechanics of deformable solids (74-XX) 5 General and overarching topics; collections (00-XX) 5 Ordinary differential equations (34-XX) 5 Functional analysis (46-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 101 Publications have been cited 3,396 times in 1,485 Documents Cited by ▼ Year ▼ Regularity and existence of solutions of elliptic equations with p,q- growth conditions. Zbl 0724.35043 Marcellini, Paolo 482 1991 Regularity of minimizers of integrals of the calculus of variations with non-standard growth conditions. Zbl 0667.49032 Marcellini, Paolo 383 1989 Everywhere regularity for a class of elliptic systems without growth conditions. Zbl 0922.35031 Marcellini, Paolo 141 1996 Regularity for elliptic equations with general growth conditions. Zbl 0812.35042 Marcellini, Paolo 128 1993 On the definition and the lower semicontinuity of certain quasiconvex integrals. Zbl 0609.49009 Marcellini, Paolo 119 1986 Approximation of quasiconvex functions, and lower semicontinuity of multiple integrals. Zbl 0573.49010 Marcellini, Paolo 111 1985 Implicit partial differential equations. Zbl 0938.35002 Dacorogna, Bernard; Marcellini, Paolo 102 1999 Nonlinear elliptic systems with general growth. Zbl 1330.35131 Marcellini, Paolo; Papi, Gloria 83 2006 Parabolic systems with \({p,q}\)-growth: a variational approach. Zbl 1292.35146 Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo 82 2013 Periodic solutions and homogenization of non linear variational problems. Zbl 0395.49007 Marcellini, Paolo 77 1978 Lipschitz estimates for systems with ellipticity conditions at infinity. Zbl 1354.35035 Eleuteri, Michela; Marcellini, Paolo; Mascolo, Elvira 73 2016 General existence theorems for Hamilton-Jacobi equations in the scalar and vectorial cases. Zbl 0901.49027 Dacorogna, Bernard; Marcellini, Paolo 67 1997 Existence of evolutionary variational solutions via the calculus of variations. Zbl 1288.35007 Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo 66 2014 Sulla convergenza delle soluzioni di disequazioni variazionali. Zbl 0333.35030 Boccardo, Lucio; Marcellini, Paolo 54 1976 Anisotropic equations in \(L^ 1\). Zbl 0838.35048 Boccardo, L.; Gallouet, T.; Marcellini, P. 52 1996 Regularity for some scalar variational problems under general growth conditions. Zbl 0901.49030 Marcellini, P. 52 1996 Semicontinuity problems in the calculus of variations. Zbl 0537.49002 Marcellini, Paolo; Sbordone, Carlo 50 1980 Growth conditions and regularity for weak solutions to nonlinear elliptic PDEs. Zbl 1512.35301 Marcellini, Paolo 50 2021 L\({}^{\infty}\)-regularity for variational problems with sharp non- standard growth conditions. Zbl 0711.49058 Boccardo, Lucio; Marcellini, Paolo; Sbordone, Carlo 49 1990 Lipschitz continuity for energy integrals with variable exponents. Zbl 1338.35169 Eleuteri, Mchela; Marcellini, Paolo; Mascolo, Elvira 49 2016 An existence result for a nonconvex variational problem via regularity. Zbl 1044.49011 Fonseca, Irene; Fusco, Nicola; Marcellini, Paolo 48 2002 Parabolic equations with \(p,q\)-growth. Zbl 1288.35302 Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo 46 2013 Regularity for scalar integrals without structure conditions. Zbl 1445.35159 Eleuteri, Michela; Marcellini, Paolo; Mascolo, Elvira 41 2020 Local boundedness of minimizers with limit growth conditions. Zbl 1325.49043 Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira 39 2015 Regularity under general and \(p,q\)-growth conditions. Zbl 1439.35102 Marcellini, Paolo 38 2020 Regularity under sharp anisotropic general growth conditions. Zbl 1158.49040 Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira 37 2009 A variational approach to parabolic equations under general and \(p,q\)-growth conditions. Zbl 1436.35235 Marcellini, Paolo 36 2020 Local boundedness of solutions to quasilinear elliptic systems. Zbl 1235.35129 Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira 35 2012 Regularity of minimizers under limit growth conditions. Zbl 1358.49032 Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira 34 2017 Existence and regularity for elliptic equations under \(p,q\)-growth. Zbl 1305.35041 Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira 33 2014 Doubly nonlinear equations of porous medium type. Zbl 1394.35349 Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo; Scheven, Christoph 30 2018 A time dependent variational approach to image restoration. Zbl 1380.94012 Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo 29 2015 Homogenization of non-uniformly elliptic operators. Zbl 0406.35014 Marcellini, Paolo; Sbordone, Carlo 28 1978 Relaxation of multiple integral in subcritical Sobolev spaces. Zbl 0915.49011 Fonseca, Irene; Marcellini, Paolo 23 1997 Quasiconvex quadratic forms in two dimensions. Zbl 0567.49007 Marcellini, Paolo 23 1984 Non convex integrals of the calculus of variations. Zbl 0735.49002 Marcellini, Paolo 23 1990 Nonuniformly elliptic energy integrals with \(p, q\)-growth. Zbl 1403.49033 Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira 23 2018 The stored-energy for some discontinuous deformations in nonlinear elasticity. Zbl 0679.73006 Marcellini, Paolo 22 1989 Alcune osservazioni sull’esistenza del minimo di integrali del calcolo delle variazioni senza ipotesi di convessita. Zbl 0454.49015 Marcellini, Paolo 22 1980 Existence of minimizers for non-quasiconvex integrals. Zbl 0837.49002 Dacorogna, Bernard; Marcellini, Paolo 21 1995 On the existence of minima of multiple integrals of the calculus of variations. Zbl 0516.49011 Marcellini, Paolo; Sbordone, Carlo 20 1983 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 20 1991 Local boundedness of solutions to some anisotropic elliptic systems. Zbl 1294.35016 Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira 20 2013 Semicontinuité pour des intégrandes polyconvexes sans continuité des déterminants. (Semicontinuity for polyconvex integrands without continuity of determinants). Zbl 0723.49007 Dacorogna, Bernard; Marcellini, Paolo 19 1990 An approach to the asymptotic behaviour of elliptic-parabolic operators. Zbl 0319.35013 Marcellini, Paolo; Sbordone, Carlo 17 1977 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 17 2014 Existence of minimizers for some non convex one-dimensional integrals. Zbl 0912.49015 Fusco, N.; Marcellini, P.; Ornelas, A. 16 1998 Parabolic equations and the bounded slope condition. Zbl 1372.35161 Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo; Signoriello, Stefano 16 2017 Dualita e perturbazione di funzionali integrali. Zbl 0393.49007 Marcellini, P.; Sbordone, C. 15 1977 Nonlocal diffusion equations. Zbl 1332.35195 Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo; Signoriello, Stefano 15 2015 A variational approach to doubly nonlinear equations. Zbl 1407.35123 Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo; Scheven, Christoph 15 2018 A-priori gradient bound for elliptic systems under either slow or fast growth conditions. Zbl 1442.35049 Di Marco, Tommaso; Marcellini, Paolo 14 2020 Origami and partial differential equations. Zbl 1328.00022 Dacorogna, Bernard; Marcellini, Paolo; Paolini, Emanuele 13 2010 A counterexample in the vectorial calculus of variations. Zbl 0641.49007 Dacorogna, Bernard; Marcellini, Paolo 12 1988 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 Su una convergenza di funzioni convesse. Zbl 0282.47014 Marcellini, Paolo 12 1973 Elliptic versus parabolic regularization for the equation of prescribed mean curvature. Zbl 0890.35046 Marcellini, Paolo; Miller, Keith 12 1997 Lipschitz-continuous local isometric immersions: rigid maps and origami. Zbl 1147.53042 Dacorogna, B.; Marcellini, P.; Paolini, E. 12 2008 Local Lipschitz continuity of minimizers with mild assumptions on the \(x\)-dependence. Zbl 1411.49022 Eleuteri, Michela; Marcellini, Paolo; Mascolo, Elvira 11 2019 Local Lipschitz continuity for \(p, q\)-PDEs with explicit \(u\)-dependence. Zbl 1501.35188 Marcellini, P 11 2023 An alternative approach to the Hölder continuity of solutions to some elliptic equations. Zbl 1284.35198 Düzgün, Fatma Gamze; Marcellini, Paolo; Vespri, Vincenzo 11 2014 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 10 1983 On a volume-constrained variational problem. Zbl 0945.49005 Ambrosio, Luigi; Fonseca, Irene; Marcellini, Paolo; Tartar, Luc 10 1999 On the total variation of the Jacobian. Zbl 1041.49016 Fonseca, Irene; Fusco, Nicola; Marcellini, Paolo 10 2004 Bounds for the third membrane eigenvalue. Zbl 0421.35066 Marcellini, Paolo 10 1980 Integral convexity and parabolic systems. Zbl 1509.35146 Bögelein, Verena; Dacorogna, Bernard; Duzaar, Frank; Marcellini, Paolo; Scheven, Christoph 10 2020 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 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 Boundary regularity for elliptic systems with \(p,q\)-growth. Zbl 1487.35147 Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo; Scheven, Christoph 8 2022 On some sharp conditions for lower semicontinuity in \(L^1\). Zbl 1028.49012 Gori, Michele; Maggi, Francesco; Marcellini, Paolo 7 2003 Un teorema di passaggio al limite per la somma di funzioni convesse. Zbl 0309.47033 Marcellini, Paolo 7 1975 Lipschitz regularity for degenerate elliptic integrals with \(p, q\)-growth. Zbl 1511.49001 Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira; Passarelli di Napoli, Antonia 7 2023 Topological degree, Jacobian determinants and relaxation. Zbl 1177.49066 Fonseca, Irene; Fusco, Nicola; Marcellini, Paolo 6 2005 Some remarks on uniqueness in the calculus of variations. Zbl 0521.49005 Marcellini, P. 6 1983 An extension of the Serrin’s lower semicontinuity theorem. Zbl 1019.49021 Gori, Michele; Marcellini, Paolo 6 2002 Convergence of second order linear elliptic operators. Zbl 0408.35028 Marcellini, Paolo 6 1979 On the solvability of implicit nonlinear systems in the vectorial case. Zbl 0945.35023 Dacorogna, Bernard; Marcellini, Paolo 5 1999 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 Local Lipschitz continuity for energy integrals with slow growth. Zbl 1491.35192 Eleuteri, Michela; Marcellini, Paolo; Mascolo, Elvira; Perrotta, Stefania 5 2022 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 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 Origami and partial differential equations. Zbl 1247.00053 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 Anisotropy versus inhomogeneity in the calculus of variations. Zbl 1467.35126 Marcellini, Paolo 2 2021 The two well problem for piecewise affine maps. Zbl 1258.35061 Dacorogna, Bernard; Marcellini, Paolo; Paolini, Emanuele 2 2012 Some problems of \(\Gamma\)-convergence. Zbl 0552.49012 Marcellini, Paolo 1 1983 Attainment of minima and implicit partial differential equations. Zbl 0939.49013 Dacorogna, Bernard; Marcellini, Paolo 1 1999 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 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 Some problems of semicontinuity and of \(\Gamma\)-convergence for integrals of the calculus of variations. Zbl 0405.49021 Marcellini, Paolo 1 1979 Interior gradient bounds for nonlinear elliptic systems. Zbl 1454.35005 Marcellini, Paolo 1 2020 Local Lipschitz continuity for \(p, q\)-PDEs with explicit \(u\)-dependence. Zbl 1501.35188 Marcellini, P 11 2023 Lipschitz regularity for degenerate elliptic integrals with \(p, q\)-growth. Zbl 1511.49001 Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira; Passarelli di Napoli, Antonia 7 2023 Boundary regularity for elliptic systems with \(p,q\)-growth. Zbl 1487.35147 Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo; Scheven, Christoph 8 2022 Local Lipschitz continuity for energy integrals with slow growth. Zbl 1491.35192 Eleuteri, Michela; Marcellini, Paolo; Mascolo, Elvira; Perrotta, Stefania 5 2022 Growth conditions and regularity for weak solutions to nonlinear elliptic PDEs. Zbl 1512.35301 Marcellini, Paolo 50 2021 Anisotropy versus inhomogeneity in the calculus of variations. Zbl 1467.35126 Marcellini, Paolo 2 2021 Regularity for scalar integrals without structure conditions. Zbl 1445.35159 Eleuteri, Michela; Marcellini, Paolo; Mascolo, Elvira 41 2020 Regularity under general and \(p,q\)-growth conditions. Zbl 1439.35102 Marcellini, Paolo 38 2020 A variational approach to parabolic equations under general and \(p,q\)-growth conditions. Zbl 1436.35235 Marcellini, Paolo 36 2020 A-priori gradient bound for elliptic systems under either slow or fast growth conditions. Zbl 1442.35049 Di Marco, Tommaso; Marcellini, Paolo 14 2020 Integral convexity and parabolic systems. Zbl 1509.35146 Bögelein, Verena; Dacorogna, Bernard; Duzaar, Frank; Marcellini, Paolo; Scheven, Christoph 10 2020 Interior gradient bounds for nonlinear elliptic systems. Zbl 1454.35005 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 11 2019 Doubly nonlinear equations of porous medium type. Zbl 1394.35349 Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo; Scheven, Christoph 30 2018 Nonuniformly elliptic energy integrals with \(p, q\)-growth. Zbl 1403.49033 Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira 23 2018 A variational approach to doubly nonlinear equations. Zbl 1407.35123 Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo; Scheven, Christoph 15 2018 Regularity of minimizers under limit growth conditions. Zbl 1358.49032 Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira 34 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 73 2016 Lipschitz continuity for energy integrals with variable exponents. Zbl 1338.35169 Eleuteri, Mchela; Marcellini, Paolo; Mascolo, Elvira 49 2016 Local boundedness of minimizers with limit growth conditions. Zbl 1325.49043 Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira 39 2015 A time dependent variational approach to image restoration. Zbl 1380.94012 Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo 29 2015 Nonlocal diffusion equations. Zbl 1332.35195 Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo; Signoriello, Stefano 15 2015 Existence of evolutionary variational solutions via the calculus of variations. Zbl 1288.35007 Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo 66 2014 Existence and regularity for elliptic equations under \(p,q\)-growth. Zbl 1305.35041 Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira 33 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 17 2014 An alternative approach to the Hölder continuity of solutions to some elliptic equations. Zbl 1284.35198 Düzgün, Fatma Gamze; Marcellini, Paolo; Vespri, Vincenzo 11 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 82 2013 Parabolic equations with \(p,q\)-growth. Zbl 1288.35302 Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo 46 2013 Local boundedness of solutions to some anisotropic elliptic systems. Zbl 1294.35016 Cupini, Giovanni; Marcellini, Paolo; Mascolo, Elvira 20 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 35 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 13 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 37 2009 Lipschitz-continuous local isometric immersions: rigid maps and origami. Zbl 1147.53042 Dacorogna, B.; Marcellini, P.; Paolini, E. 12 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 83 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 10 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 48 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 102 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 5 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. 16 1998 General existence theorems for Hamilton-Jacobi equations in the scalar and vectorial cases. Zbl 0901.49027 Dacorogna, Bernard; Marcellini, Paolo 67 1997 Relaxation of multiple integral in subcritical Sobolev spaces. Zbl 0915.49011 Fonseca, Irene; Marcellini, Paolo 23 1997 Elliptic versus parabolic regularization for the equation of prescribed mean curvature. Zbl 0890.35046 Marcellini, Paolo; Miller, Keith 12 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 141 1996 Anisotropic equations in \(L^ 1\). Zbl 0838.35048 Boccardo, L.; Gallouet, T.; Marcellini, P. 52 1996 Regularity for some scalar variational problems under general growth conditions. Zbl 0901.49030 Marcellini, P. 52 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 21 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 128 1993 Regularity and existence of solutions of elliptic equations with p,q- growth conditions. Zbl 0724.35043 Marcellini, Paolo 482 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 20 1991 L\({}^{\infty}\)-regularity for variational problems with sharp non- standard growth conditions. Zbl 0711.49058 Boccardo, Lucio; Marcellini, Paolo; Sbordone, Carlo 49 1990 Non convex integrals of the calculus of variations. Zbl 0735.49002 Marcellini, Paolo 23 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 19 1990 Regularity of minimizers of integrals of the calculus of variations with non-standard growth conditions. Zbl 0667.49032 Marcellini, Paolo 383 1989 The stored-energy for some discontinuous deformations in nonlinear elasticity. Zbl 0679.73006 Marcellini, Paolo 22 1989 A counterexample in the vectorial calculus of variations. Zbl 0641.49007 Dacorogna, Bernard; Marcellini, Paolo 12 1988 On the definition and the lower semicontinuity of certain quasiconvex integrals. Zbl 0609.49009 Marcellini, Paolo 119 1986 Approximation of quasiconvex functions, and lower semicontinuity of multiple integrals. Zbl 0573.49010 Marcellini, Paolo 111 1985 Quasiconvex quadratic forms in two dimensions. Zbl 0567.49007 Marcellini, Paolo 23 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 10 1983 Some remarks on uniqueness in the calculus of variations. Zbl 0521.49005 Marcellini, P. 6 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 50 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 10 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 1 1979 Periodic solutions and homogenization of non linear variational problems. Zbl 0395.49007 Marcellini, Paolo 77 1978 Homogenization of non-uniformly elliptic operators. Zbl 0406.35014 Marcellini, Paolo; Sbordone, Carlo 28 1978 An approach to the asymptotic behaviour of elliptic-parabolic operators. Zbl 0319.35013 Marcellini, Paolo; Sbordone, Carlo 17 1977 Dualita e perturbazione di funzionali integrali. Zbl 0393.49007 Marcellini, P.; Sbordone, C. 15 1977 Sur quelques questions de G-convergence et d’homogeneisation non linéaire. Zbl 0353.49015 Marcellini, Paolo; Sbordone, Carlo 5 1977 Relaxation of non convex variational problems. Zbl 0408.49017 Marcellini, Paolo; Sbordone, Carlo 2 1977 Sulla convergenza delle soluzioni di disequazioni variazionali. Zbl 0333.35030 Boccardo, Lucio; Marcellini, Paolo 54 1976 Un teorema di passaggio al limite per la somma di funzioni convesse. Zbl 0309.47033 Marcellini, Paolo 7 1975 ...and 1 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,140 Authors 57 Marcellini, Paolo 44 Rădulescu, Vicenţiu D. 43 Papageorgiou, Nikolaos S. 36 Leonetti, Francesco 36 Mingione, Giuseppe 32 Passarelli di Napoli, Antonia 28 Mascolo, Elvira 26 Winkert, Patrick 25 Dacorogna, Bernard 24 Bögelein, Verena 24 De Filippis, Cristiana 24 Zhang, Qihu 22 Duzaar, Frank 20 Fonseca, Irene 20 Fusco, Nicola 19 Fuchs, Martin 18 Cupini, Giovanni 18 Verde, Anna 18 Zeng, Shengda 17 Ok, Jihoon 17 Scheven, Christoph 16 Skrypnik, Igor Igorievich 15 Buttazzo, Giuseppe 15 Byun, Sun-Sig 15 Fan, Xianling 15 Giannetti, Flavia 15 Repovš, Dušan D. 15 Vespri, Vincenzo Riccardo 14 Azroul, Elhoussine 14 Boccardo, Lucio 14 Carozza, Menita 14 De Arcangelis, Riccardo 14 Giova, Raffaella 14 Stroffolini, Bianca 14 Yan, Baisheng 13 Chlebicka, Iwona 13 Cianchi, Andrea 13 Dal Maso, Gianni 12 Bildhauer, Michael 12 Hästö, Peter A. 12 Kristensen, Jan 12 Sbordone, Carlo 12 Sychev, Mikhail A. 12 Tachikawa, Atsushi 11 Harjulehto, Petteri 11 Zhang, Chao 10 Acerbi, Emilio 10 Bai, Yunru 10 Bousquet, Pierre 10 Eleuteri, Michela 10 Fiscella, Alessio 10 Gao, Hongya 10 Gasiński, Leszek 10 Leone, Chiara 10 Moscariello, Gioconda 10 Schätzler, Leah 10 Zagatti, Sandro 10 Zheng, Shenzhou 9 Allalou, Chakir 9 Balaadich, Farah 9 Diening, Lars 9 Granucci, Tiziano 9 Katzourakis, Nikolaos I. 9 Müller, Stefan 8 Alberico, Angela 8 Arora, Rakesh 8 Brasco, Lorenzo 8 Bulíček, Miroslav 8 Colombo, Maria 8 Kim, Seonghak 8 Ragusa, Maria Alessandra 8 Singer, Thomas 8 Vetro, Calogero 7 Amar, Micol 7 Braides, Andrea 7 Breit, Dominic 7 Cellina, Arrigo 7 Conti, Sergio 7 El Ouaarabi, Mohamed 7 Fang, Yuzhou 7 Liu, Zhenhai 7 Melliani, Said 7 Neff, Patrizio 7 Petricca, Pier Vincenzo 7 Ponte Castañeda, Pedro 7 Voĭtovich, Mykhaĭlo Volodymyrovych 7 Zatorska-Goldstein, Anna 7 Zhang, Kewei 6 Baroni, Paolo 6 Bouchitté, Guy 6 Chiadò Piat, Valeria 6 Crasta, Graziano 6 De Cicco, Virginia 6 Esposito, Luca 6 Feo, Filomena 6 Focardi, Matteo 6 Ge, Bin 6 Ghiba, Ionel-Dumitrel 6 Isernia, Teresa 6 Kinnunen, Juha ...and 1,040 more Authors all top 5 Cited in 231 Serials 123 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 91 Calculus of Variations and Partial Differential Equations 87 Journal of Mathematical Analysis and Applications 64 Journal of Differential Equations 54 Archive for Rational Mechanics and Analysis 50 Annali di Matematica Pura ed Applicata. Serie Quarta 47 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 34 Manuscripta Mathematica 33 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 28 Advances in Calculus of Variations 27 Journal de Mathématiques Pures et Appliquées. Neuvième Série 26 NoDEA. Nonlinear Differential Equations and Applications 25 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 25 Advances in Nonlinear Analysis 23 Journal of Functional Analysis 23 Nonlinear Analysis. Theory, Methods & Applications 20 Journal of Optimization Theory and Applications 17 Communications in Partial Differential Equations 17 Nonlinear Analysis. Real World Applications 14 SIAM Journal on Mathematical Analysis 14 Journal of Mathematical Sciences (New York) 13 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 13 Journal of Evolution Equations 12 Transactions of the American Mathematical Society 12 Communications on Pure and Applied Analysis 12 Mediterranean Journal of Mathematics 12 Journal of Elliptic and Parabolic Equations 11 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 11 Forum Mathematicum 11 The Journal of Geometric Analysis 11 Discrete and Continuous Dynamical Systems. Series S 10 Proceedings of the American Mathematical Society 10 Zeitschrift für Analysis und ihre Anwendungen 10 Comptes Rendus. Mathématique. Académie des Sciences, Paris 10 Mathematics in Engineering 9 Applied Mathematics and Optimization 9 Mathematische Annalen 8 Applicable Analysis 8 Mathematical Methods in the Applied Sciences 8 Rendiconti del Circolo Matemàtico di Palermo. Serie II 8 Potential Analysis 8 Communications in Contemporary Mathematics 7 Journal of the Mechanics and Physics of Solids 7 Mathematische Nachrichten 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 Boundary Value Problems 6 Analysis & PDE 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 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 Complex Variables and Elliptic Equations 5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 5 Analysis and Mathematical Physics 4 Computer Methods in Applied Mechanics and Engineering 4 Bulletin of the London Mathematical Society 4 Mathematische Zeitschrift 4 Numerische Mathematik 4 Rendiconti del Seminario Matemàtico e Fisico di Milano 4 Siberian Mathematical Journal 4 Chinese Annals of Mathematics. 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Second Series 3 Milan Journal of Mathematics 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 3 Boletim da Sociedade Paranaense de Matemática. Terceira Série 3 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 3 Journal of Fixed Point Theory and Applications 3 Afrika Matematika ...and 131 more Serials all top 5 Cited in 46 Fields 998 Partial differential equations (35-XX) 684 Calculus of variations and optimal control; optimization (49-XX) 155 Mechanics of deformable solids (74-XX) 131 Functional analysis (46-XX) 78 Operator theory (47-XX) 53 Real functions (26-XX) 53 Global analysis, analysis on manifolds (58-XX) 33 Ordinary differential equations (34-XX) 33 Numerical analysis (65-XX) 31 Fluid mechanics (76-XX) 18 Harmonic analysis on Euclidean spaces (42-XX) 16 Potential theory (31-XX) 16 General topology (54-XX) 15 Functions of a complex variable (30-XX) 14 Measure and integration (28-XX) 11 Differential geometry (53-XX) 11 Statistical mechanics, structure of matter (82-XX) 11 Operations research, mathematical programming (90-XX) 10 Optics, electromagnetic theory (78-XX) 9 Convex and discrete geometry (52-XX) 9 Probability theory and stochastic processes (60-XX) 8 Computer science (68-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Information and communication theory, circuits (94-XX) 6 History and biography (01-XX) 6 Integral equations (45-XX) 6 Biology and other natural sciences (92-XX) 6 Systems theory; control (93-XX) 5 Mechanics of particles and systems (70-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 Algebraic topology (55-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Algebraic geometry (14-XX) 2 Approximations and expansions (41-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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