Edit Profile Sbordone, Carlo Compute Distance To: Compute Author ID: sbordone.carlo Published as: Sbordone, Carlo; Sbordone, C. External Links: Wikidata Documents Indexed: 128 Publications since 1972, including 4 Books Biographic References: 2 Publications all top 5 Co-Authors 33 single-authored 15 Iwaniec, Tadeusz 14 Moscariello, Gioconda 12 Schiattarella, Roberta 10 D’Onofrio, Luigi 10 Fusco, Nicola 8 Greco, Luigi 8 Marcellini, Paolo 8 Passarelli di Napoli, Antonia 5 Alberico, Angela 5 Alberico, Teresa 4 Carbone, Luciano 4 Cianchi, Andrea 2 Alvino, Angelo 2 Bojarski, Bogdan 2 Carozza, Menita 2 Di Gironimo, Patrizia 2 Fiorenza, Alberto 2 Giannetti, Flavia 2 Martin, Gaven J. 2 Murat, François 2 Popoli, Arturo 2 Rionero, Salvatore 2 Trombetti, Cristina 2 Trombetti, Guido 2 Wik, Ingemar 2 Zecca, Gabriella 1 Ambrosetti, Antonio 1 Attouch, Hedy 1 Bandle, Catherine 1 Berestycki, Henri 1 Boccardo, Lucio 1 Brézis, Haïm 1 Brighi, Bernard 1 Brillard, Alain 1 Canfora, Albino 1 Chipot, Michel 1 Coron, Jean-Michel 1 Corporente, Rossella 1 Cruz-Uribe, David Vincente 1 Dal Maso, Gianni 1 D’Apuzzo, Livia 1 De Angelis, Pasquale L. 1 de Cave, Linda Maria 1 de Giovanni, Francesco 1 Ekonen, Markku 1 Farroni, Fernando 1 Formica, Maria Rosaria 1 Giova, Raffaella 1 Guida, Margherita 1 Hencl, Stanislav 1 Kinnunen, Juha 1 Koskela, Pekka 1 Kovalev, Leonid V. 1 Laccetti, Giuliano 1 Leonardi, Salvatore 1 Lions, Pierre-Louis 1 Malý, Jan 1 Marola, Niko 1 Martio, Olli 1 Migliaccio, Lucia 1 Nania, Luciana 1 Perfekt, Karl-Mikael 1 Rakotoson, Jean-Michel 1 Romano, Emanuela 1 Shafrir, Itai 1 Stroffolini, Bianca 1 Valente, Vanda 1 Vergara Caffarelli, Giorgio all top 5 Serials 10 Ricerche di Matematica 6 Rendiconto dell’Accademia delle Scienze Fisiche e Matematiche. Serie IV 4 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 3 Journal of Mathematical Analysis and Applications 3 Studia Mathematica 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Journal of Fixed Point Theory and Applications 3 Journal of Elliptic and Parabolic Equations 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Journal of Functional Analysis 2 Manuscripta Mathematica 2 Le Matematiche 2 Rendiconti del Seminario Matematico 2 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Differential and Integral Equations 2 Atti del Seminario Matematico e Fisico dell’Università di Modena 2 Communications in Partial Differential Equations 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis 1 Communications on Pure and Applied Mathematics 1 Journal d’Analyse Mathématique 1 Functiones et Approximatio. Commentarii Mathematici 1 Journal of Differential Equations 1 Journal of the London Mathematical Society. Second Series 1 Journal für die Reine und Angewandte Mathematik 1 Mathematica Scandinavica 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Rendiconti dell’Accademia delle Scienze Fisiche e Matemàtiche. Serie IV 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Bollettino della Unione Matemàtica Italiana. Serie VI. C. Analisi Funzionale e Applicazioni 1 Asymptotic Analysis 1 Publicacions Matemàtiques 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Bollettino della Unione Matemàtica Italiana. Serie VII. A 1 Topological Methods in Nonlinear Analysis 1 Calculus of Variations and Partial Differential Equations 1 Georgian Mathematical Journal 1 Journal of Convex Analysis 1 Discrete and Continuous Dynamical Systems 1 The Journal of Fourier Analysis and Applications 1 Annales Academiae Scientiarum Fennicae. Mathematica 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 A. La Matematica nella Società e nella Cultura 1 Communications in Contemporary Mathematics 1 Discrete and Continuous Dynamical Systems. Series B 1 Communications on Pure and Applied Analysis 1 Milan Journal of Mathematics 1 Mediterranean Journal of Mathematics 1 Bollettino della Unione Matematica Italiana. Series IV 1 Bollettino della Unione Matematica Italiana. Series V. A 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Bollettino dell’Unione Matematica Italiana. Series IX 1 Advances in Calculus of Variations 1 Nonlinear Analysis. Theory, Methods & Applications 1 Progress in Nonlinear Differential Equations and Their Applications all top 5 Fields 52 Partial differential equations (35-XX) 39 Functional analysis (46-XX) 36 Calculus of variations and optimal control; optimization (49-XX) 23 Functions of a complex variable (30-XX) 21 Real functions (26-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 10 Operator theory (47-XX) 6 General and overarching topics; collections (00-XX) 6 History and biography (01-XX) 5 Potential theory (31-XX) 3 Measure and integration (28-XX) 3 General topology (54-XX) 3 Global analysis, analysis on manifolds (58-XX) 1 Mathematical logic and foundations (03-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Algebraic topology (55-XX) 1 Operations research, mathematical programming (90-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 91 Publications have been cited 1,585 times in 868 Documents Cited by ▼ Year ▼ On the integrability of the Jacobian under minimal hypotheses. Zbl 0766.46016Iwaniec, Tadeusz; Sbordone, Carlo 185 1992 Weak minima of variational integrals. Zbl 0802.35016Iwaniec, T.; Sbordone, C. 122 1994 Inverting the \(p\)-harmonic operator. Zbl 0869.35037Greco, Luigi; Iwaniec, Tadeusz; Sbordone, Carlo 117 1997 Some properties of Gamma-limits of integral functionals. Zbl 0474.49016Carbone, Luciano; Sbordone, Carlo 76 1979 Some remarks on the regularity of minima of anisotropic integrals. Zbl 0795.49025Fusco, Nicola; Sbordone, Carlo 74 1993 Existence and uniqueness results for solutions of nonlinear equations with right hand side in \(L^1\). Zbl 0891.35039Fiorenza, A.; Sbordone, C. 62 1998 Higher integrability of the gradient of minimizers of functionals with nonstandard growth conditions. Zbl 0727.49021Fusco, Nicola; Sbordone, Carlo 57 1990 Sobolev imbedding theorems in borderline cases. Zbl 0841.46023Fusco, Nicola; Lions, Pierre Louis; Sbordone, Carlo 54 1996 Riesz transforms and elliptic PDEs with VMO coefficients. Zbl 0909.35039Iwaniec, T.; Sbordone, C. 53 1998 Semicontinuity problems in the calculus of variations. Zbl 0537.49002Marcellini, Paolo; Sbordone, Carlo 48 1980 Quasiharmonic fields. Zbl 1068.30011Iwaniec, Tadeusz; Sbordone, Carlo 45 2001 L\({}^{\infty}\)-regularity for variational problems with sharp non- standard growth conditions. Zbl 0711.49058Boccardo, Lucio; Marcellini, Paolo; Sbordone, Carlo 42 1990 Local boundedness of minimizers in a limit case. Zbl 0722.49012Fusco, Nicola; Sbordone, Carlo 36 1990 The distance to \(L^{\infty }\) in some function spaces and applications. Zbl 0889.35027Carozza, M.; Sbordone, C. 29 1997 Integrability for the Jacobian of orientation preserving mappings. Zbl 0847.26012Brézis, Haïm; Fusco, Nicola; Sbordone, Carlo 28 1993 Homogenization of non-uniformly elliptic operators. Zbl 0406.35014Marcellini, Paolo; Sbordone, Carlo 27 1978 Weak lower semicontinuity of polyconvex integrals: A borderline case. Zbl 0822.49010Dal Maso, G.; Sbordone, C. 24 1995 Bi-Sobolev mappings and elliptic equations in the plane. Zbl 1169.30007Hencl, S.; Moscariello, G.; Passarelli di Napoli, Antonia; Sbordone, C. 24 2009 Grand Sobolev spaces and their application to variational problems. Zbl 0915.46030Sbordone, Carlo 22 1996 The Muckenhoupt class \(A_ 1(\mathbb{R})\). Zbl 0808.42010Bojarski, B.; Sbordone, C.; Wik, I. 20 1992 Su alcune applicazioni di un tipo di convergenza variazionale. Zbl 0317.49012Sbordone, Carlo 19 1975 On the existence of minima of multiple integrals of the calculus of variations. Zbl 0516.49011Marcellini, Paolo; Sbordone, Carlo 19 1983 The limit of \(W^{1,1}\) homeomorphisms with finite distortion. Zbl 1157.30016Fusco, N.; Moscariello, G.; Sbordone, C. 18 2008 Mappings of finite distortion: \(L^n \log^{\alpha} L\)-integrability. Zbl 1047.30010Iwaniec, T.; Koskela, P.; Martin, G.; Sbordone, C. 17 2003 An approach to the asymptotic behaviour of elliptic-parabolic operators. Zbl 0319.35013Marcellini, Paolo; Sbordone, Carlo 16 1977 Grand Sobolev spaces and their applications in geometric function theory and PDEs. Zbl 1292.46021D’Onofrio, Luigi; Sbordone, Carlo; Schiattarella, Roberta 16 2013 \(\Gamma^-\) convergenza e \(G\)-convergenza per problemi non lineari di tipo ellittico. Zbl 0345.49004Ambrosetti, Antonio; Sbordone, Carlo 15 1976 Dualita e perturbazione di funzionali integrali. Zbl 0393.49007Marcellini, P.; Sbordone, C. 15 1977 Integrability and removability results for quasiregular mappings in high dimensions. Zbl 0824.30009Iwaniec, T.; Migliaccio, L.; Nania, L.; Sbordone, C. 13 1994 Reverse Hölder inequalities. A sharp result. Zbl 0711.42027D’Apuzzo, L.; Sbordone, C. 13 1990 Alcune questioni di convergenza per operatori differenziali del \(2^\circ\) ordine. Zbl 0308.35033Sbordone, Carlo 11 1974 Variational integrals of nearly linear growth. Zbl 0889.35026Greco, L.; Iwaniec, T.; Sbordone, C. 11 1997 Quasiminimizers in one dimension: integrability of the derivate, inverse function and obstacle problems. Zbl 1150.49016Martio, O.; Sbordone, Carlo 11 2007 The \(L^p\)-solvability of the Dirichlet problem for planar elliptic equations, sharp results. Zbl 1183.35105Sbordone, Carlo; Zecca, Gabriella 10 2009 Nonlinear elliptic equations with right hand side in nonstandard spaces. Zbl 0913.35050Sbordone, Carlo 10 1998 Caccioppoli estimates and very weak solutions of elliptic equations. Zbl 1225.35069Iwaniec, Tadeusz; Sbordone, Carlo 10 2003 Planar quasilinear elliptic equations with right-hand side in \(L(\log L)^{\delta}\). Zbl 1236.35064Alberico, Angela; Alberico, Teresa; Sbordone, Carlo 9 2011 Degree formulas for maps with nonintegrable Jacobian. Zbl 0854.58005Greco, Luigi; Iwaniec, Tadeusz; Sbordone, Carlo; Stroffolini, Bianca 9 1995 Continuity properties of solutions to the \(p\)-Laplace system. Zbl 1378.35145Alberico, Angela; Cianchi, Andrea; Sbordone, Carlo 9 2017 On the continuity of solutions to degenerate elliptic equations. Zbl 1213.35231Cruz-Uribe, D.; Di Gironimo, P.; Sbordone, C. 8 2011 Asymptotic limits for perturbed functionals of calculus of variations. Zbl 0453.49007Attouch, H.; Sbordone, C. 8 1980 Maximal functions and related weight classes. Zbl 0821.42013Sbordone, Carlo; Wik, Ingemar 8 1994 On some integral inequalities and their applications to the calculus of variations. Zbl 0678.49008Sbordone, Carlo 8 1986 Anisotropic Sobolev homeomorphisms. Zbl 1239.26010Di Gironimo, Patrizia; D’Onofrio, Luigi; Sbordone, Carlo; Schiattarella, Roberta 7 2011 New estimates for div-curl products and very weak solutions of PDEs. Zbl 1073.35515Sbordone, Carlo 7 1997 BMO-type seminorms and Sobolev functions. Zbl 1410.46021Fusco, Nicola; Moscariello, Gioconda; Sbordone, Carlo 7 2018 On G-compactness of the Beltrami operators. Zbl 1320.30080Iwaniec, T.; Giannetti, F.; Moscariello, G.; Sbordone, C.; Kovalev, L. 7 2005 \(L^p\)-integrability & weak type \(L^{2}\)-estimates for the gradient of harmonic mappings of \(\mathbb D\). Zbl 1168.31001Iwaniec, Tadeusz; Martin, Gaven; Sbordone, Carlo 7 2009 A formula for the total variation of SBV functions. Zbl 1332.26018Fusco, N.; Moscariello, G.; Sbordone, C. 7 2016 Sulla G-convergenza di equazioni ellittiche e paraboliche. Zbl 0348.35007Sbordone, Carlo 6 1975 A note on planar homeomorphisms. Zbl 1210.30007Greco, Luigi; Sbordone, Carlo; Trombetti, Cristina 6 2008 \(A_\infty\) as a limit case of reverse-Hölder inequalities when the exponent tends to 1. Zbl 0920.26017Moscariello, Gioconda; Sbordone, Carlo 6 1995 \(G\)-closed classes of elliptic operators in the complex plane. Zbl 1139.30311Bojarski, Bogdan; D’Onofrio, Luigi; Iwaniec, Tadeusz; Sbordone, Carlo 6 2005 Gradient regularity for quasilinear elliptic Dirichlet problems in the plane. Zbl 1353.35164Alberico, Angela; Cianchi, Andrea; Sbordone, Carlo 6 2016 Sur quelques questions de G-convergence et d’homogeneisation non linéaire. Zbl 0353.49015Marcellini, Paolo; Sbordone, Carlo 5 1977 Duality and distance formulas in Banach function spaces. Zbl 1434.46005D’Onofrio, Luigi; Sbordone, Carlo; Schiattarella, Roberta 5 2019 Gradient regularity for solutions to quasilinear elliptic equations in the plane. Zbl 1306.35040De Cave, Linda Maria; Sbordone, Carlo 4 2014 Variable exponents and grand Lebesgue spaces: some optimal results. Zbl 1351.46024Fiorenza, Alberto; Rakotoson, Jean Michel; Sbordone, Carlo 4 2015 Sharp interactions among \(A_\infty\)-weights on the real line. Zbl 1331.26013Popoli, Arturo; Sbordone, Carlo; Zecca, Gabriella 4 2015 Composition of bi-Sobolev homeomorphisms. Zbl 1272.30038Greco, Luigi; Sbordone, Carlo; Schiattarella, Roberta 4 2012 Atomic decompositions, two stars theorems, and distances for the Bourgain-Brezis-Mironescu space and other big spaces. Zbl 1443.46005D’Onofrio, Luigi; Greco, Luigi; Perfekt, Karl-Mikael; Sbordone, Carlo; Schiattarella, Roberta 4 2020 Sur une limite d’intégrales polynomiales du calcul des variations. Zbl 0307.49012Sbordone, Carlo 3 1977 A note on \(W^{1,1}_{\text{loc}}\) planar homeomorphisms. Zbl 1234.30016Greco, L.; Sbordone, C.; Trombetti, C. 3 2006 Optimal \(L^p\)-properties of Green’s functions for non-divergence elliptic equations in two dimensions. Zbl 1154.35331Moscariello, Gioconda; Sbordone, Carlo 3 2005 Regularity points of ACL-homeomorphisms in the plane. Zbl 1321.26026Farroni, Fernando; Giova, Raffaella; Sbordone, Carlo 3 2013 On the approximate differentiability of inverse maps. Zbl 1326.47073D’Onofrio, Luigi; Sbordone, Carlo; Schiattarella, Roberta 3 2014 On the modulus of continuity of solutions to the \(n\)-Laplace equation. Zbl 1378.35112Alberico, Angela; Cianchi, Andrea; Sbordone, Carlo 3 2015 Su una caratterizzazione degli operatori differenziali del \(2^O\) ordine. Zbl 0303.35010Sbordone, Carlo 2 1974 Higher integrability of the gradient of minima of certain functionals. Zbl 1145.49300Fusco, Nicola; Sbordone, Carlo 2 1989 Fractional integrals and \(A_p\)-weights: a sharp estimate. Zbl 1180.26001Alberico, Teresa; Cianchi, Andrea; Sbordone, Carlo 2 2009 Critical points for Sobolev homeomorphisms. Zbl 1220.30034Sbordone, Carlo; Schiattarella, Roberta 2 2011 Maximal inequalities and applications to regularity problems in the calculus of variations. Zbl 0835.35046Sbordone, C. 2 1995 On the \(\Gamma\)-convergence of matrix fields related to the adjugate Jacobian. Zbl 1045.35016Sbordone, Carlo 2 2003 Relaxation of non convex variational problems. Zbl 0408.49017Marcellini, Paolo; Sbordone, Carlo 2 1977 New and old function spaces in the theory of PDEs and nonlinear analysis. Zbl 1061.46027Iwaniec, Tadeusz; Sbordone, Carlo 2 2004 Sharp upper bounds for the degree of regularity of the solutions to an elliptic equation. Zbl 1019.35021Greco, Luigi; Sbordone, Carlo 2 2002 Explicit bounds for composition operators preserving \(\mathrm{BMO}(\mathbb R)\). Zbl 1140.46012Alberico, Teresa; Corporente, Rossella; Sbordone, Carlo 2 2007 The precise \(L^p\)-theory of elliptic equations in the plane. Zbl 1147.35024Sbordone, Carlo 2 2005 Higher integrability from reverse Jensen inequalities with different supports. Zbl 0691.49009Fusco, Nicola; Sbordone, Carlo 2 1989 Rearrangement of functions and reverse Jensen inequalities. Zbl 0593.42010Sbordone, Carlo 2 1986 Renato Caccioppoli, a hundred years from his birth. Zbl 1192.01026Sbordone, Carlo 1 2004 Bisobolev mappings and the Beltrami equation in the plane. Zbl 1210.30017Moscariello, G.; Passarelli di Napoli, A.; Sbordone, C. 1 2008 Div-curl fields of finite distortion. Zbl 0916.30015Iwaniec, Tadeusz; Sbordone, Carlo 1 1998 Very weak minimizers of integrals of the calculus of variations. Zbl 0819.35037Sbordone, C. 1 1994 Un teorema di compattezza per la \(\Gamma\)-convergenza di funzionali non coercitivi. Zbl 0392.49009Carbone, Luciano; Sbordone, Carlo 1 1977 On the \(G\)-convergence of Morrey operators. Zbl 1105.35030Sbordone, Carlo; Formica, Maria Rosaria 1 2003 Bi-Sobolev mappings and \(K_{p}\)-distortions in the plane. Zbl 1376.30042Carozza, M.; Giannetti, F.; Passarelli di Napoli, A.; Sbordone, C.; Schiattarella, R. 1 2018 Elliptic equations with right hand side in \(L (\log L)^\alpha\). Zbl 1162.35354Passarelli di Napoli, Antonia; Sbordone, Carlo 1 1995 Rearrangement of functions and reverse Hölder inequalities. Zbl 0574.42016Sbordone, C. 1 1985 Higher integrability from reverse integral inequalities. Zbl 0593.42009Sbordone, Carlo 1 1983 Measurability properties of a homeomorphism under minimal integrability conditions on the gradient. Zbl 1280.30010D’Onofrio, L.; Sbordone, C.; Schiattarella, R. 1 2012 Atomic decompositions, two stars theorems, and distances for the Bourgain-Brezis-Mironescu space and other big spaces. Zbl 1443.46005D’Onofrio, Luigi; Greco, Luigi; Perfekt, Karl-Mikael; Sbordone, Carlo; Schiattarella, Roberta 4 2020 Duality and distance formulas in Banach function spaces. Zbl 1434.46005D’Onofrio, Luigi; Sbordone, Carlo; Schiattarella, Roberta 5 2019 BMO-type seminorms and Sobolev functions. Zbl 1410.46021Fusco, Nicola; Moscariello, Gioconda; Sbordone, Carlo 7 2018 Bi-Sobolev mappings and \(K_{p}\)-distortions in the plane. Zbl 1376.30042Carozza, M.; Giannetti, F.; Passarelli di Napoli, A.; Sbordone, C.; Schiattarella, R. 1 2018 Continuity properties of solutions to the \(p\)-Laplace system. Zbl 1378.35145Alberico, Angela; Cianchi, Andrea; Sbordone, Carlo 9 2017 A formula for the total variation of SBV functions. Zbl 1332.26018Fusco, N.; Moscariello, G.; Sbordone, C. 7 2016 Gradient regularity for quasilinear elliptic Dirichlet problems in the plane. Zbl 1353.35164Alberico, Angela; Cianchi, Andrea; Sbordone, Carlo 6 2016 Variable exponents and grand Lebesgue spaces: some optimal results. Zbl 1351.46024Fiorenza, Alberto; Rakotoson, Jean Michel; Sbordone, Carlo 4 2015 Sharp interactions among \(A_\infty\)-weights on the real line. Zbl 1331.26013Popoli, Arturo; Sbordone, Carlo; Zecca, Gabriella 4 2015 On the modulus of continuity of solutions to the \(n\)-Laplace equation. Zbl 1378.35112Alberico, Angela; Cianchi, Andrea; Sbordone, Carlo 3 2015 Gradient regularity for solutions to quasilinear elliptic equations in the plane. Zbl 1306.35040De Cave, Linda Maria; Sbordone, Carlo 4 2014 On the approximate differentiability of inverse maps. Zbl 1326.47073D’Onofrio, Luigi; Sbordone, Carlo; Schiattarella, Roberta 3 2014 Grand Sobolev spaces and their applications in geometric function theory and PDEs. Zbl 1292.46021D’Onofrio, Luigi; Sbordone, Carlo; Schiattarella, Roberta 16 2013 Regularity points of ACL-homeomorphisms in the plane. Zbl 1321.26026Farroni, Fernando; Giova, Raffaella; Sbordone, Carlo 3 2013 Composition of bi-Sobolev homeomorphisms. Zbl 1272.30038Greco, Luigi; Sbordone, Carlo; Schiattarella, Roberta 4 2012 Measurability properties of a homeomorphism under minimal integrability conditions on the gradient. Zbl 1280.30010D’Onofrio, L.; Sbordone, C.; Schiattarella, R. 1 2012 Planar quasilinear elliptic equations with right-hand side in \(L(\log L)^{\delta}\). Zbl 1236.35064Alberico, Angela; Alberico, Teresa; Sbordone, Carlo 9 2011 On the continuity of solutions to degenerate elliptic equations. Zbl 1213.35231Cruz-Uribe, D.; Di Gironimo, P.; Sbordone, C. 8 2011 Anisotropic Sobolev homeomorphisms. Zbl 1239.26010Di Gironimo, Patrizia; D’Onofrio, Luigi; Sbordone, Carlo; Schiattarella, Roberta 7 2011 Critical points for Sobolev homeomorphisms. Zbl 1220.30034Sbordone, Carlo; Schiattarella, Roberta 2 2011 Bi-Sobolev mappings and elliptic equations in the plane. Zbl 1169.30007Hencl, S.; Moscariello, G.; Passarelli di Napoli, Antonia; Sbordone, C. 24 2009 The \(L^p\)-solvability of the Dirichlet problem for planar elliptic equations, sharp results. Zbl 1183.35105Sbordone, Carlo; Zecca, Gabriella 10 2009 \(L^p\)-integrability & weak type \(L^{2}\)-estimates for the gradient of harmonic mappings of \(\mathbb D\). Zbl 1168.31001Iwaniec, Tadeusz; Martin, Gaven; Sbordone, Carlo 7 2009 Fractional integrals and \(A_p\)-weights: a sharp estimate. Zbl 1180.26001Alberico, Teresa; Cianchi, Andrea; Sbordone, Carlo 2 2009 The limit of \(W^{1,1}\) homeomorphisms with finite distortion. Zbl 1157.30016Fusco, N.; Moscariello, G.; Sbordone, C. 18 2008 A note on planar homeomorphisms. Zbl 1210.30007Greco, Luigi; Sbordone, Carlo; Trombetti, Cristina 6 2008 Bisobolev mappings and the Beltrami equation in the plane. Zbl 1210.30017Moscariello, G.; Passarelli di Napoli, A.; Sbordone, C. 1 2008 Quasiminimizers in one dimension: integrability of the derivate, inverse function and obstacle problems. Zbl 1150.49016Martio, O.; Sbordone, Carlo 11 2007 Explicit bounds for composition operators preserving \(\mathrm{BMO}(\mathbb R)\). Zbl 1140.46012Alberico, Teresa; Corporente, Rossella; Sbordone, Carlo 2 2007 A note on \(W^{1,1}_{\text{loc}}\) planar homeomorphisms. Zbl 1234.30016Greco, L.; Sbordone, C.; Trombetti, C. 3 2006 On G-compactness of the Beltrami operators. Zbl 1320.30080Iwaniec, T.; Giannetti, F.; Moscariello, G.; Sbordone, C.; Kovalev, L. 7 2005 \(G\)-closed classes of elliptic operators in the complex plane. Zbl 1139.30311Bojarski, Bogdan; D’Onofrio, Luigi; Iwaniec, Tadeusz; Sbordone, Carlo 6 2005 Optimal \(L^p\)-properties of Green’s functions for non-divergence elliptic equations in two dimensions. Zbl 1154.35331Moscariello, Gioconda; Sbordone, Carlo 3 2005 The precise \(L^p\)-theory of elliptic equations in the plane. Zbl 1147.35024Sbordone, Carlo 2 2005 New and old function spaces in the theory of PDEs and nonlinear analysis. Zbl 1061.46027Iwaniec, Tadeusz; Sbordone, Carlo 2 2004 Renato Caccioppoli, a hundred years from his birth. Zbl 1192.01026Sbordone, Carlo 1 2004 Mappings of finite distortion: \(L^n \log^{\alpha} L\)-integrability. Zbl 1047.30010Iwaniec, T.; Koskela, P.; Martin, G.; Sbordone, C. 17 2003 Caccioppoli estimates and very weak solutions of elliptic equations. Zbl 1225.35069Iwaniec, Tadeusz; Sbordone, Carlo 10 2003 On the \(\Gamma\)-convergence of matrix fields related to the adjugate Jacobian. Zbl 1045.35016Sbordone, Carlo 2 2003 On the \(G\)-convergence of Morrey operators. Zbl 1105.35030Sbordone, Carlo; Formica, Maria Rosaria 1 2003 Sharp upper bounds for the degree of regularity of the solutions to an elliptic equation. Zbl 1019.35021Greco, Luigi; Sbordone, Carlo 2 2002 Quasiharmonic fields. Zbl 1068.30011Iwaniec, Tadeusz; Sbordone, Carlo 45 2001 Existence and uniqueness results for solutions of nonlinear equations with right hand side in \(L^1\). Zbl 0891.35039Fiorenza, A.; Sbordone, C. 62 1998 Riesz transforms and elliptic PDEs with VMO coefficients. Zbl 0909.35039Iwaniec, T.; Sbordone, C. 53 1998 Nonlinear elliptic equations with right hand side in nonstandard spaces. Zbl 0913.35050Sbordone, Carlo 10 1998 Div-curl fields of finite distortion. Zbl 0916.30015Iwaniec, Tadeusz; Sbordone, Carlo 1 1998 Inverting the \(p\)-harmonic operator. Zbl 0869.35037Greco, Luigi; Iwaniec, Tadeusz; Sbordone, Carlo 117 1997 The distance to \(L^{\infty }\) in some function spaces and applications. Zbl 0889.35027Carozza, M.; Sbordone, C. 29 1997 Variational integrals of nearly linear growth. Zbl 0889.35026Greco, L.; Iwaniec, T.; Sbordone, C. 11 1997 New estimates for div-curl products and very weak solutions of PDEs. Zbl 1073.35515Sbordone, Carlo 7 1997 Sobolev imbedding theorems in borderline cases. Zbl 0841.46023Fusco, Nicola; Lions, Pierre Louis; Sbordone, Carlo 54 1996 Grand Sobolev spaces and their application to variational problems. Zbl 0915.46030Sbordone, Carlo 22 1996 Weak lower semicontinuity of polyconvex integrals: A borderline case. Zbl 0822.49010Dal Maso, G.; Sbordone, C. 24 1995 Degree formulas for maps with nonintegrable Jacobian. Zbl 0854.58005Greco, Luigi; Iwaniec, Tadeusz; Sbordone, Carlo; Stroffolini, Bianca 9 1995 \(A_\infty\) as a limit case of reverse-Hölder inequalities when the exponent tends to 1. Zbl 0920.26017Moscariello, Gioconda; Sbordone, Carlo 6 1995 Maximal inequalities and applications to regularity problems in the calculus of variations. Zbl 0835.35046Sbordone, C. 2 1995 Elliptic equations with right hand side in \(L (\log L)^\alpha\). Zbl 1162.35354Passarelli di Napoli, Antonia; Sbordone, Carlo 1 1995 Weak minima of variational integrals. Zbl 0802.35016Iwaniec, T.; Sbordone, C. 122 1994 Integrability and removability results for quasiregular mappings in high dimensions. Zbl 0824.30009Iwaniec, T.; Migliaccio, L.; Nania, L.; Sbordone, C. 13 1994 Maximal functions and related weight classes. Zbl 0821.42013Sbordone, Carlo; Wik, Ingemar 8 1994 Very weak minimizers of integrals of the calculus of variations. Zbl 0819.35037Sbordone, C. 1 1994 Some remarks on the regularity of minima of anisotropic integrals. Zbl 0795.49025Fusco, Nicola; Sbordone, Carlo 74 1993 Integrability for the Jacobian of orientation preserving mappings. Zbl 0847.26012Brézis, Haïm; Fusco, Nicola; Sbordone, Carlo 28 1993 On the integrability of the Jacobian under minimal hypotheses. Zbl 0766.46016Iwaniec, Tadeusz; Sbordone, Carlo 185 1992 The Muckenhoupt class \(A_ 1(\mathbb{R})\). Zbl 0808.42010Bojarski, B.; Sbordone, C.; Wik, I. 20 1992 Higher integrability of the gradient of minimizers of functionals with nonstandard growth conditions. Zbl 0727.49021Fusco, Nicola; Sbordone, Carlo 57 1990 L\({}^{\infty}\)-regularity for variational problems with sharp non- standard growth conditions. Zbl 0711.49058Boccardo, Lucio; Marcellini, Paolo; Sbordone, Carlo 42 1990 Local boundedness of minimizers in a limit case. Zbl 0722.49012Fusco, Nicola; Sbordone, Carlo 36 1990 Reverse Hölder inequalities. A sharp result. Zbl 0711.42027D’Apuzzo, L.; Sbordone, C. 13 1990 Higher integrability of the gradient of minima of certain functionals. Zbl 1145.49300Fusco, Nicola; Sbordone, Carlo 2 1989 Higher integrability from reverse Jensen inequalities with different supports. Zbl 0691.49009Fusco, Nicola; Sbordone, Carlo 2 1989 On some integral inequalities and their applications to the calculus of variations. Zbl 0678.49008Sbordone, Carlo 8 1986 Rearrangement of functions and reverse Jensen inequalities. Zbl 0593.42010Sbordone, Carlo 2 1986 Rearrangement of functions and reverse Hölder inequalities. Zbl 0574.42016Sbordone, C. 1 1985 On the existence of minima of multiple integrals of the calculus of variations. Zbl 0516.49011Marcellini, Paolo; Sbordone, Carlo 19 1983 Higher integrability from reverse integral inequalities. Zbl 0593.42009Sbordone, Carlo 1 1983 Semicontinuity problems in the calculus of variations. Zbl 0537.49002Marcellini, Paolo; Sbordone, Carlo 48 1980 Asymptotic limits for perturbed functionals of calculus of variations. Zbl 0453.49007Attouch, H.; Sbordone, C. 8 1980 Some properties of Gamma-limits of integral functionals. Zbl 0474.49016Carbone, Luciano; Sbordone, Carlo 76 1979 Homogenization of non-uniformly elliptic operators. Zbl 0406.35014Marcellini, Paolo; Sbordone, Carlo 27 1978 An approach to the asymptotic behaviour of elliptic-parabolic operators. Zbl 0319.35013Marcellini, Paolo; Sbordone, Carlo 16 1977 Dualita e perturbazione di funzionali integrali. Zbl 0393.49007Marcellini, P.; Sbordone, C. 15 1977 Sur quelques questions de G-convergence et d’homogeneisation non linéaire. Zbl 0353.49015Marcellini, Paolo; Sbordone, Carlo 5 1977 Sur une limite d’intégrales polynomiales du calcul des variations. Zbl 0307.49012Sbordone, Carlo 3 1977 Relaxation of non convex variational problems. Zbl 0408.49017Marcellini, Paolo; Sbordone, Carlo 2 1977 Un teorema di compattezza per la \(\Gamma\)-convergenza di funzionali non coercitivi. Zbl 0392.49009Carbone, Luciano; Sbordone, Carlo 1 1977 \(\Gamma^-\) convergenza e \(G\)-convergenza per problemi non lineari di tipo ellittico. Zbl 0345.49004Ambrosetti, Antonio; Sbordone, Carlo 15 1976 Su alcune applicazioni di un tipo di convergenza variazionale. Zbl 0317.49012Sbordone, Carlo 19 1975 Sulla G-convergenza di equazioni ellittiche e paraboliche. Zbl 0348.35007Sbordone, Carlo 6 1975 Alcune questioni di convergenza per operatori differenziali del \(2^\circ\) ordine. Zbl 0308.35033Sbordone, Carlo 11 1974 Su una caratterizzazione degli operatori differenziali del \(2^O\) ordine. Zbl 0303.35010Sbordone, Carlo 2 1974 all cited Publications top 5 cited Publications all top 5 Cited by 720 Authors 37 Sbordone, Carlo 27 Fiorenza, Alberto 27 Kokilashvili, Vakhtang Mikhailovich 24 Meskhi, Alexander 23 Leonetti, Francesco 23 Passarelli di Napoli, Antonia 21 Iwaniec, Tadeusz 21 Marcellini, Paolo 21 Mingione, Giuseppe 20 Moscariello, Gioconda 20 Schiattarella, Roberta 19 Cianchi, Andrea 17 Fusco, Nicola 16 D’Onofrio, Luigi 16 Giova, Raffaella 15 Koskela, Pekka 14 Alberico, Angela 14 Greco, Luigi 14 Mascolo, Elvira 13 Černý, Robert 13 De Arcangelis, Riccardo 13 Farroni, Fernando 13 Fonseca, Irene 12 Carozza, Menita 12 Dal Maso, Gianni 12 Gao, Hongya 11 Formica, Maria Rosaria 11 Giannetti, Flavia 11 Zecca, Gabriella 10 Boccardo, Lucio 10 Buttazzo, Giuseppe 10 Hencl, Stanislav 10 Ryazanov, Vladimir Il’ich 9 Briane, Marc 9 Malý, Jan 9 Onninen, Jani 9 Rakotoson, Jean-Michel 9 Umarkhadzhiev, Salaudin Musaevich 8 Capone, Claudia 8 Cruz-Uribe, David Vincente 8 Cupini, Giovanni 8 Rafeiro, Humberto 8 Skrypnik, Igor Igorievich 7 Acerbi, Emilio 7 Casado-Díaz, Juan 7 Kristensen, Jan 7 Pick, Luboš 7 Singh, Monika 7 Verde, Anna 6 Chiadò Piat, Valeria 6 Chlebicka, Iwona 6 Clop, Albert 6 Edmunds, David Eric 6 Fuchs, Martin 6 Jain, Pankaj 6 Petricca, Pier Vincenzo 6 Radice, Teresa 6 Rădulescu, Vicenţiu D. 6 Yan, Baisheng 5 Anatriello, Giuseppina 5 Baroni, Paolo 5 Bildhauer, Michael 5 Björn, Jana 5 Bui, The Anh 5 Carbone, Luciano 5 Dacorogna, Bernard 5 Di Blasio, Giuseppina 5 Ding, Shusen 5 Faraco, Daniel 5 Feo, Filomena 5 Gogatishvili, Amiran 5 Leoni, Giovanni 5 Mercaldo, Anna 5 Milman, Mario Marcos 5 Murat, François 5 Papageorgiou, Nikolaos S. 5 Pastukhova, Svetlana Evgenievna 5 Popoli, Arturo 5 Singh, Arun Pal 5 Visintin, Augusto 5 Zhong, Xiao 4 Alves, Claudianor Oliveira 4 Amar, Micol 4 Astala, Kari 4 Björn, Anders 4 Bouchitté, Guy 4 Byun, Sun-Sig 4 Corbo Esposito, Antonio 4 di Castro, Agnese 4 Di Fratta, Giovanni 4 Di Gironimo, Patrizia 4 Fernández-Martínez, Pedro 4 Focardi, Matteo 4 Giachetti, Daniela 4 Gutlyanskiĭ, Vladimir Ya. 4 Kovalev, Leonid V. 4 Martin, Gaven J. 4 Maz’ya, Vladimir Gilelevich 4 Müller, Stefan 4 Nguyen Cong Phuc ...and 620 more Authors all top 5 Cited in 178 Serials 77 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 49 Journal of Mathematical Analysis and Applications 39 Annali di Matematica Pura ed Applicata. Serie Quarta 36 Calculus of Variations and Partial Differential Equations 31 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 23 Journal of Differential Equations 22 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 21 Journal of Functional Analysis 21 Manuscripta Mathematica 18 Journal of Mathematical Sciences (New York) 17 Nonlinear Analysis. Theory, Methods & Applications 15 Archive for Rational Mechanics and Analysis 13 Journal de Mathématiques Pures et Appliquées. Neuvième Série 12 Ricerche di Matematica 12 Communications in Partial Differential Equations 12 NoDEA. Nonlinear Differential Equations and Applications 11 Mathematical Notes 11 The Journal of Geometric Analysis 11 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 10 Advances in Mathematics 10 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 10 Proceedings of the American Mathematical Society 10 Journal of Elliptic and Parabolic Equations 9 Journal d’Analyse Mathématique 9 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 9 Journal of Inequalities and Applications 9 Communications in Contemporary Mathematics 8 Transactions of the American Mathematical Society 8 Potential Analysis 8 Mediterranean Journal of Mathematics 7 Revista Matemática Iberoamericana 7 Advances in Calculus of Variations 6 Applicable Analysis 6 Arkiv för Matematik 6 Journal of Optimization Theory and Applications 6 Zeitschrift für Analysis und ihre Anwendungen 6 St. Petersburg Mathematical Journal 6 Complex Variables and Elliptic Equations 6 Transactions of A. Razmadze Mathematical Institute 5 Studia Mathematica 5 Czechoslovak Mathematical Journal 5 Mathematische Nachrichten 5 Siberian Mathematical Journal 5 Georgian Mathematical Journal 5 Annales Academiae Scientiarum Fennicae. Mathematica 5 Acta Mathematica Sinica. English Series 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Journal of Fixed Point Theory and Applications 5 Advances in Nonlinear Analysis 4 Israel Journal of Mathematics 4 The Journal of Fourier Analysis and Applications 4 Fractional Calculus & Applied Analysis 4 Revista Matemática Complutense 4 Journal of Function Spaces and Applications 3 Ukrainian Mathematical Journal 3 Mathematische Zeitschrift 3 Rendiconti del Seminario Matematico della Università di Padova 3 Results in Mathematics 3 RAIRO. Modélisation Mathématique et Analyse Numérique 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Russian Mathematics 3 Computational Methods and Function Theory 3 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 3 Discrete and Continuous Dynamical Systems. Series S 3 Journal of Function Spaces 2 Lithuanian Mathematical Journal 2 Nonlinearity 2 Acta Mathematica 2 Annales de l’Institut Fourier 2 Applied Mathematics and Optimization 2 Archiv der Mathematik 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of Approximation Theory 2 Mathematische Annalen 2 Numerische Mathematik 2 Rendiconti del Seminario Matemàtico e Fisico di Milano 2 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 2 Acta Applicandae Mathematicae 2 Acta Mathematicae Applicatae Sinica. English Series 2 Applied Mathematics Letters 2 Applications of Mathematics 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 SIAM Journal on Mathematical Analysis 2 Applied Mathematics. Series B (English Edition) 2 Electronic Journal of Differential Equations (EJDE) 2 Turkish Journal of Mathematics 2 Journal of Convex Analysis 2 Discrete and Continuous Dynamical Systems 2 Doklady Mathematics 2 Abstract and Applied Analysis 2 Positivity 2 Central European Journal of Mathematics 2 Boundary Value Problems 2 Proceedings of the Steklov Institute of Mathematics 2 Complex Analysis and Operator Theory 2 Frontiers of Mathematics in China 2 Journal of Mathematical Inequalities 2 Banach Journal of Mathematical Analysis 2 Differential Equations and Applications ...and 78 more Serials all top 5 Cited in 47 Fields 395 Partial differential equations (35-XX) 269 Calculus of variations and optimal control; optimization (49-XX) 252 Functional analysis (46-XX) 127 Harmonic analysis on Euclidean spaces (42-XX) 115 Real functions (26-XX) 87 Functions of a complex variable (30-XX) 62 Operator theory (47-XX) 47 Mechanics of deformable solids (74-XX) 39 Potential theory (31-XX) 26 Global analysis, analysis on manifolds (58-XX) 16 General topology (54-XX) 13 Measure and integration (28-XX) 12 Probability theory and stochastic processes (60-XX) 10 Approximations and expansions (41-XX) 9 Ordinary differential equations (34-XX) 8 Integral equations (45-XX) 7 History and biography (01-XX) 5 Abstract harmonic analysis (43-XX) 5 Convex and discrete geometry (52-XX) 5 Fluid mechanics (76-XX) 4 Sequences, series, summability (40-XX) 4 Numerical analysis (65-XX) 4 Optics, electromagnetic theory (78-XX) 2 General and overarching topics; collections (00-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Integral transforms, operational calculus (44-XX) 2 Differential geometry (53-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Category theory; homological algebra (18-XX) 1 Topological groups, Lie groups (22-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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