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Author ID: marcellini.paolo Recent zbMATH articles by "Marcellini, Paolo"
Published as: Marcellini, Paolo; Marcellini, P.; Marcellini, P
External Links: MGP · ORCID · Wikidata · GND · IdRef
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

Publications by Year

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 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
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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
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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

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