Edit Profile (opens in new tab) Cianchi, Andrea Compute Distance To: Compute Author ID: cianchi.andrea Published as: Cianchi, Andrea; Cianchi, A. External Links: MGP · ORCID · Wikidata Documents Indexed: 139 Publications since 1989 1 Contribution as Editor Co-Authors: 45 Co-Authors with 98 Joint Publications 881 Co-Co-Authors all top 5 Co-Authors 42 single-authored 23 Pick, Luboš 19 Maz’ya, Vladimir Gilelevich 16 Alberico, Angela 12 Slavíková, Lenka 11 Fusco, Nicola 6 Breit, Dominic 6 Ferone, Adele 5 Diening, Lars 5 Musil, Vít 4 Sbordone, Carlo 4 Schwarzacher, Sebastian 3 Barletta, Giuseppina 3 Carozza, Menita 3 Trombetti, Cristina 2 Cavaliere, Paola 2 Edmunds, David Eric 2 Ferone, Vincenzo 2 Kerman, Ron 2 Kuusi, Tuomo 2 Lutwak, Erwin 2 Maggi, Francesco 2 Nitsch, Carlo 2 Pratelli, Aldo 2 Randolfi, Monia 2 Yang, Deane 2 Zhang, Gaoyong 1 Alberico, Teresa 1 Alvino, Angelo 1 Balci, Anna Kh. 1 Černý, Robert 1 Chlebicka, Iwona 1 Chlebík, Miroslav 1 Esposito, Luca 1 Esteban, Maria J. 1 Gurka, Petr 1 Hencl, Stanislav 1 Ioku, Norisuke 1 Kawohl, Bernd 1 Marino, Greta 1 Mercaldo, Anna 1 Opic, Bohumír 1 Salani, Paolo 1 Schianchi, Rosanna 1 Stroffolini, Bianca 1 Zatorska-Goldstein, Anna all top 5 Serials 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Journal of Functional Analysis 5 Advances in Mathematics 5 Indiana University Mathematics Journal 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Archive for Rational Mechanics and Analysis 4 Transactions of the American Mathematical Society 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Calculus of Variations and Partial Differential Equations 3 Journal of Mathematical Analysis and Applications 3 Journal of Differential Equations 3 Journal für die Reine und Angewandte Mathematik 3 Mathematische Annalen 3 The Journal of Geometric Analysis 3 Communications in Partial Differential Equations 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Communications on Pure and Applied Analysis 2 Applicable Analysis 2 Journal d’Analyse Mathématique 2 Arkiv för Matematik 2 American Journal of Mathematics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Journal of the London Mathematical Society. Second Series 2 Mathematische Nachrichten 2 Ricerche di Matematica 2 SIAM Journal on Mathematical Analysis 2 Bollettino della Unione Matemàtica Italiana. Serie VII. B 2 Potential Analysis 2 Annales Academiae Scientiarum Fennicae. Mathematica 2 Journal of the European Mathematical Society (JEMS) 2 Advances in Calculus of Variations 1 IEEE Transactions on Information Theory 1 Studia Mathematica 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Annales de l’Institut Fourier 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Applied Mathematics and Optimization 1 Bulletin of the London Mathematical Society 1 Duke Mathematical Journal 1 Journal of Differential Geometry 1 Manuscripta Mathematica 1 Le Matematiche 1 Mathematische Zeitschrift 1 Pacific Journal of Mathematics 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Revista Matemática Iberoamericana 1 Forum Mathematicum 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Differential and Integral Equations 1 IMRN. International Mathematics Research Notices 1 Bulletin des Sciences Mathématiques 1 The Journal of Fourier Analysis and Applications 1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione B. Articoli di Ricerca Matematica 1 Annals of Mathematics. Second Series 1 Communications in Contemporary Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Oberwolfach Reports 1 Bollettino dell’Unione Matematica Italiana. Series IX 1 Analysis and Mathematical Physics 1 Nonlinear Analysis. Theory, Methods & Applications 1 Journal of Elliptic and Parabolic Equations all top 5 Fields 95 Functional analysis (46-XX) 49 Partial differential equations (35-XX) 29 Real functions (26-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 8 Measure and integration (28-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Convex and discrete geometry (52-XX) 4 Operator theory (47-XX) 4 Differential geometry (53-XX) 2 Potential theory (31-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 117 Publications have been cited 2,191 times in 1,155 Documents Cited by ▼ Year ▼ Affine Moser-Trudinger and Morrey-Sobolev inequalities. Zbl 1202.26029Cianchi, Andrea; Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong 109 2009 A sharp embedding theorem for Orlicz-Sobolev spaces. Zbl 0860.46022Cianchi, Andrea 103 1996 Global Lipschitz regularity for a class of quasilinear elliptic equations. Zbl 1220.35065Cianchi, Andrea; Maz’ya, Vladimir G. 99 2011 Global boundedness of the gradient for a class of nonlinear elliptic systems. Zbl 1298.35070Cianchi, Andrea; Maz’ya, Vladimir G. 79 2014 Overdetermined anisotropic elliptic problems. Zbl 1179.35107Cianchi, Andrea; Salani, Paolo 69 2009 The sharp Sobolev inequality in quantitative form. Zbl 1185.46025Cianchi, A.; Fusco, N.; Maggi, F.; Pratelli, A. 60 2009 Optimal Orlicz-Sobolev embeddings. Zbl 1061.46031Cianchi, Andrea 55 2004 Sobolev embeddings into BMO, VMO, and \(L_{\infty}\). Zbl 1035.46502Cianchi, Andrea; Pick, Luboš 55 1998 Gradient regularity via rearrangements for \(p\)-Laplacian type elliptic boundary value problems. Zbl 1288.35128Cianchi, Andrea; Maz’ya, Vladimir 53 2014 On the isoperimetric deficit in Gauss space. Zbl 1219.28005Cianchi, A.; Fusco, N.; Maggi, F.; Pratelli, A. 52 2011 Boundedness of solutions to variational problems under general growth conditions. Zbl 0892.35048Cianchi, Andrea 51 1997 Functions of bounded variation and rearrangements. Zbl 1028.49035Cianchi, Andrea; Fusco, Nicola 44 2002 A fully anisotropic Sobolev inequality. Zbl 0966.46017Cianchi, Andrea 42 2000 The perimeter inequality under Steiner symmetrization: cases of equality. Zbl 1087.28003Chlebík, Miroslav; Cianchi, Andrea; Fusco, Nicola 41 2005 Local boundedness of minimizers of anisotropic functionals. Zbl 0984.49019Cianchi, Andrea 39 2000 Strong and weak type inequalities for some classical operators in Orlicz spaces. Zbl 0940.46015Cianchi, Andrea 39 1999 Moser–Trudinger inequalities without boundary conditions and isoperimetric problems. Zbl 1097.46016Cianchi, Andrea 37 2005 Continuity properties of functions from Orlicz-Sobolev spaces and embedding theorems. Zbl 0877.46023Cianchi, Andrea 34 1996 Concentration-compactness principles for Moser-Trudinger inequalities: new results and proofs. Zbl 1272.46023Černý, Robert; Cianchi, Andrea; Hencl, Stanislav 34 2013 Gradient regularity for minimizers under general growth conditions. Zbl 0913.49024Cianchi, Andrea; Fusco, Nicola 33 1999 Symmetrization in anisotropic elliptic problems. Zbl 1219.35028Cianchi, Andrea 32 2007 Steiner symmetric extremals in Pólya-Szegő-type inequalities. Zbl 1110.46021Cianchi, Andrea; Fusco, Nicola 32 2006 Hardy inequalities in Orlicz spaces. Zbl 0920.46021Cianchi, Andrea 29 1999 Higher-order Sobolev embeddings and isoperimetric inequalities. Zbl 1334.46027Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka 28 2015 Quasilinear elliptic problems with general growth and merely integrable, or measure, data. Zbl 1373.35113Cianchi, Andrea; Maz’ya, Vladimir 27 2017 Second-order two-sided estimates in nonlinear elliptic problems. Zbl 1398.35078Cianchi, Andrea; Maz’ya, Vladimir G. 27 2018 Moser–Trudinger trace inequalities. Zbl 1138.46020Cianchi, Andrea 27 2008 Maximizing the \(L^ \infty{}\) norm of the gradient of solutions to the Poisson equation. Zbl 0780.35009Cianchi, Andrea 26 1992 On relative isoperimetric inequalities in the plane. Zbl 0674.49030Cianchi, Andrea 24 1989 Global gradient estimates in elliptic problems under minimal data and domain regularity. Zbl 1325.35027Cianchi, Andrea; Maz’ya, Vladimir 24 2015 Pointwise Calderón-Zygmund gradient estimates for the \(p\)-Laplace system. Zbl 1390.35101Breit, Dominic; Cianchi, Andrea; Diening, Lars; Kuusi, Tuomo; Schwarzacher, Sebastian 24 2018 Symmetrization and second-order Sobolev inequalities. Zbl 1223.46033Cianchi, Andrea 24 2004 The \(p\)-Laplace system with right-hand side in divergence form: inner and up to the boundary pointwise estimates. Zbl 1370.35064Breit, D.; Cianchi, A.; Diening, L.; Kuusi, T.; Schwarzacher, S. 23 2017 Some results in the theory of Orlicz spaces and applications to variational problems. Zbl 0965.46017Cianchi, Andrea 22 1999 Korn type inequalities in Orlicz spaces. Zbl 1312.46037Cianchi, Andrea 21 2014 Hardy inequalities with non-standard remainder terms. Zbl 1153.26310Cianchi, Andrea; Ferone, Adele 21 2008 A sharp form of Poincaré type inequalities on balls and spheres. Zbl 0707.53034Cianchi, Andrea 20 1989 Orlicz-Sobolev boundary trace embeddings. Zbl 1208.46028Cianchi, Andrea 19 2010 Optimal Gaussian Sobolev embeddings. Zbl 1203.46019Cianchi, Andrea; Pick, Luboš 19 2009 Well-posed elliptic Neumann problems involving irregular data and domains. Zbl 1200.35105Alvino, Angelo; Cianchi, Andrea; Maz’ya, Vladimir G.; Mercaldo, Anna 19 2010 A quantitative Pólya-Szegő principle. Zbl 1175.46021Cianchi, Andrea; Esposito, Luca; Fusco, Nicola; Trombetti, Cristina 19 2008 Higher-order Sobolev and Poincaré inequalities in Orlicz spaces. Zbl 1120.46015Cianchi, Andrea 19 2006 A quantitative Sobolev inequality in BV. Zbl 1110.46020Cianchi, Andrea 19 2006 Nonlinear potentials, local solutions to elliptic equations and rearrangements. Zbl 1235.31009Cianchi, Andrea 17 2011 Dirichlet problems for fully anisotropic elliptic equations. Zbl 1388.35043Barletta, Giuseppina; Cianchi, Andrea 17 2017 Sharp Morrey–Sobolev inequalities and the distance from extremals. Zbl 1153.46019Cianchi, Andrea 17 2008 On weighted Poincaré inequalities. Zbl 0858.26009Cianchi, Andrea; Edmunds, David E.; Gurka, Petr 16 1996 Optimal Sobolev trace embeddings. Zbl 1360.46027Cianchi, Andrea; Pick, Luboš 16 2016 Differentiability properties of Orlicz-Sobolev functions. Zbl 1119.46030Alberico, Angela; Cianchi, Andrea 16 2005 Trace-free Korn inequalities in Orlicz spaces. Zbl 1380.46028Breit, D.; Cianchi, A.; Diening, L. 14 2017 Fully anisotropic elliptic problems with minimally integrable data. Zbl 1428.35124Alberico, Angela; Chlebicka, Iwona; Cianchi, Andrea; Zatorska-Goldstein, Anna 14 2019 Comparison estimates in anisotropic variational problems. Zbl 1357.49137Alberico, Angela; Cianchi, Andrea 14 2008 Second-order derivatives and rearrangements. Zbl 1017.46023Cianchi, Andrea 14 2000 A sharp rearrangement inequality for the fractional maximal operator. Zbl 0968.42014Cianchi, A.; Kerman, R.; Opic, B.; Pick, L. 14 2000 An optimal interpolation theorem of Marcinkiewicz type in Orlicz spaces. Zbl 0913.46028Cianchi, Andrea 14 1998 Boundary trace inequalities and rearrangements. Zbl 1169.46013Cianchi, Andrea; Kerman, Ron; Pick, Luboš 13 2008 Neumann problems and isocapacitary inequalities. Zbl 1146.35041Cianchi, Andrea; Maz’ya, Vladimir G. 13 2008 Sobolev embeddings into spaces of Campanato, Morrey, and Hölder type. Zbl 1031.46039Cianchi, Andrea; Pick, Luboš 13 2003 Optimal second-order regularity for the \(p\)-Laplace system. Zbl 1437.35404Cianchi, Andrea; Maz’ya, Vladimir G. 12 2019 Elliptic equations on manifolds and isoperimetric inequalities. Zbl 0709.58037Cianchi, Andrea 12 1990 On the modulus of continuity of weakly differentiable functions. Zbl 1268.46026Cianchi, Andrea; Randolfi, Monia 12 2011 On the limit as \(s\rightarrow 0^+\) of fractional Orlicz-Sobolev spaces. Zbl 1467.46032Alberico, Angela; Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka 11 2020 Fractional Orlicz-Sobolev embeddings. Zbl 1472.46034Alberico, Angela; Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka 11 2021 Sharp Sobolev type embeddings on the entire Euclidean space. Zbl 1405.46024Alberico, Angela; Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka 10 2018 A sharp trace inequality for functions of bounded variation in the ball. Zbl 1294.46030Cianchi, Andrea 10 2012 On some aspects of the theory of Orlicz-Sobolev spaces. Zbl 1194.46042Cianchi, Andrea 10 2010 Negative Orlicz-Sobolev norms and strongly nonlinear systems in fluid mechanics. Zbl 1337.46024Breit, Dominic; Cianchi, Andrea 9 2015 Continuity properties of solutions to the \(p\)-Laplace system. Zbl 1378.35145Alberico, Angela; Cianchi, Andrea; Sbordone, Carlo 9 2017 Sobolev embeddings, rearrangement-invariant spaces and Frostman measures. Zbl 1440.46030Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka 8 2020 Potential estimates for the \(p\)-Laplace system with data in divergence form. Zbl 1395.35051Cianchi, A.; Schwarzacher, S. 7 2018 Best remainder norms in Sobolev-Hardy inequalities. Zbl 1177.46021Cianchi, Andrea; Ferone, Adele 7 2009 Balls minimize trace constants in BV. Zbl 1373.46025Cianchi, Andrea; Ferone, Vincenzo; Nitsch, Carlo; Trombetti, Cristina 7 2017 A unified approach to Cramér-Rao inequalities. Zbl 1364.94228Cianchi, Andrea; Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong 7 2014 An optimal endpoint trace embedding. Zbl 1208.46029Cianchi, Andrea; Pick, Luboš 7 2010 Bounds for eigenfunctions of the Laplacian on noncompact Riemannian manifolds. Zbl 1280.58018Cianchi, Andrea; Maz’ya, Vladimir G. 7 2013 Minimal rearrangements, strict convexity and critical points. Zbl 1104.46016Cianchi, Andrea; Fusco, Nicola 7 2006 Interpolation of operators and the Sobolev embedding theorem on Orlicz spaces. Zbl 1011.46025Cianchi, Andrea 7 1998 An extension of Hedberg’s convolution inequality and applications. Zbl 0914.42014Cianchi, Andrea; Stroffolini, Bianca 7 1998 Classical and approximate Taylor expansions of weakly differentiable functions. Zbl 1309.46013Cavaliere, Paola; Cianchi, Andrea 6 2014 Optimal domain spaces in Orlicz-Sobolev embeddings. Zbl 1440.46028Cianchi, Andrea; Musil, Vit 6 2019 Gradient regularity for quasilinear elliptic Dirichlet problems in the plane. Zbl 1353.35164Alberico, Angela; Cianchi, Andrea; Sbordone, Carlo 6 2016 Moser inequalities in Gauss space. Zbl 1460.46022Cianchi, Andrea; Musil, Vít; Pick, Luboš 5 2020 On the discreteness of the spectrum of the Laplacian on noncompact Riemannian manifolds. Zbl 1269.58011Cianchi, Andrea; Maz’ya, Vladimir 5 2011 Sobolev inequalities in arbitrary domains. Zbl 1346.46022Cianchi, Andrea; Maz’ya, Vladimir 5 2016 Optimal summability of solutions to nonlinear elliptic problems. Zbl 1387.35282Alberico, Angela; Cianchi, Andrea 5 2007 Smooth approximation of Orlicz-Sobolev maps between manifolds. Zbl 1362.46037Carozza, Menita; Cianchi, Andrea 5 2016 A strengthened version of the Hardy-Littlewood inequality. Zbl 1155.26017Cianchi, Andrea; Ferone, Adele 5 2008 Boundedness of solutions to the Schrödinger equation under Neumann boundary conditions. Zbl 1259.35072Cianchi, Andrea; Maz’ya, Vladimir 4 2012 Sobolev embeddings in Orlicz and Lorentz spaces with measures. Zbl 1450.46019Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka 4 2020 Dirichlet integrals and Steiner asymmetry. Zbl 1124.46017Cianchi, Andrea; Fusco, Nicola 4 2006 On symmetric functionals of the gradient having symmetric equidistributed minimizers. Zbl 1126.46020Cianchi, Andrea; Ferone, Adele 4 2006 On the modulus of continuity of solutions to the \(n\)-Laplace equation. Zbl 1378.35112Alberico, Angela; Cianchi, Andrea; Sbordone, Carlo 3 2015 Strict monotonicity of functionals under Steiner symmetrization. Zbl 1114.49040Cianchi, Andrea; Fusco, Nicola 3 2004 On the limit as \(s\to 1^-\) of possibly non-separable fractional Orlicz-Sobolev spaces. Zbl 1479.46036Alberico, Angela; Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka 3 2020 Quantitative Sobolev and Hardy inequalities, and related symmetrization principles. Zbl 1179.26054Cianchi, Andrea 3 2009 Sobolev inequalities for the symmetric gradient in arbitrary domains. Zbl 1451.46033Cianchi, Andrea; Maz’ya, Vladimir G. 3 2020 Second-order regularity for parabolic \(p\)-Laplace problems. Zbl 1439.35204Cianchi, Andrea; Maz’ya, Vladimir G. 3 2020 On fractional Orlicz-Sobolev spaces. Zbl 1477.46039Alberico, Angela; Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka 3 2021 Borderline sharp estimates for solutions to Neumann problems. Zbl 1225.35075Alberico, Angela; Cianchi, Andrea 3 2007 Orlicz-Sobolev algebras. Zbl 1157.46309Cianchi, Andrea 3 2008 Global Schauder estimates for the \(p\)-Laplace system. Zbl 1481.35235Breit, D.; Cianchi, A.; Diening, L.; Schwarzacher, S. 2 2022 A pointwise differential inequality and second-order regularity for nonlinear elliptic systems. Zbl 1506.35053Balci, Anna Kh.; Cianchi, Andrea; Diening, Lars; Maz’ya, Vladimir 2 2022 On the existence of extremals for Moser-type inequalities in Gauss space. Zbl 1494.46032Cianchi, Andrea; Musil, Vít; Pick, Luboš 1 2022 Fractional Orlicz-Sobolev embeddings. Zbl 1472.46034Alberico, Angela; Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka 11 2021 On fractional Orlicz-Sobolev spaces. Zbl 1477.46039Alberico, Angela; Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka 3 2021 Sharp exponential inequalities for the Ornstein-Uhlenbeck operator. Zbl 1485.46038Cianchi, Andrea; Musil, Vít; Pick, Luboš 2 2021 Continuity properties of weakly monotone Orlicz-Sobolev functions. Zbl 1469.46027Carozza, Menita; Cianchi, Andrea 1 2021 On the limit as \(s\rightarrow 0^+\) of fractional Orlicz-Sobolev spaces. Zbl 1467.46032Alberico, Angela; Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka 11 2020 Sobolev embeddings, rearrangement-invariant spaces and Frostman measures. Zbl 1440.46030Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka 8 2020 Moser inequalities in Gauss space. Zbl 1460.46022Cianchi, Andrea; Musil, Vít; Pick, Luboš 5 2020 Sobolev embeddings in Orlicz and Lorentz spaces with measures. Zbl 1450.46019Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka 4 2020 On the limit as \(s\to 1^-\) of possibly non-separable fractional Orlicz-Sobolev spaces. Zbl 1479.46036Alberico, Angela; Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka 3 2020 Sobolev inequalities for the symmetric gradient in arbitrary domains. Zbl 1451.46033Cianchi, Andrea; Maz’ya, Vladimir G. 3 2020 Second-order regularity for parabolic \(p\)-Laplace problems. Zbl 1439.35204Cianchi, Andrea; Maz’ya, Vladimir G. 3 2020 Fully anisotropic elliptic problems with minimally integrable data. Zbl 1428.35124Alberico, Angela; Chlebicka, Iwona; Cianchi, Andrea; Zatorska-Goldstein, Anna 14 2019 Optimal second-order regularity for the \(p\)-Laplace system. Zbl 1437.35404Cianchi, Andrea; Maz’ya, Vladimir G. 12 2019 Optimal domain spaces in Orlicz-Sobolev embeddings. Zbl 1440.46028Cianchi, Andrea; Musil, Vit 6 2019 Second-order two-sided estimates in nonlinear elliptic problems. Zbl 1398.35078Cianchi, Andrea; Maz’ya, Vladimir G. 27 2018 Pointwise Calderón-Zygmund gradient estimates for the \(p\)-Laplace system. Zbl 1390.35101Breit, Dominic; Cianchi, Andrea; Diening, Lars; Kuusi, Tuomo; Schwarzacher, Sebastian 24 2018 Sharp Sobolev type embeddings on the entire Euclidean space. Zbl 1405.46024Alberico, Angela; Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka 10 2018 Potential estimates for the \(p\)-Laplace system with data in divergence form. Zbl 1395.35051Cianchi, A.; Schwarzacher, S. 7 2018 Norms supporting the Lebesgue differentiation theorem. Zbl 1400.46023Cavaliere, Paola; Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka 1 2018 On the continuity of weakly monotone functions. Zbl 1410.46017Carozza, Menita; Cianchi, Andrea 1 2018 Quasilinear elliptic problems with general growth and merely integrable, or measure, data. Zbl 1373.35113Cianchi, Andrea; Maz’ya, Vladimir 27 2017 The \(p\)-Laplace system with right-hand side in divergence form: inner and up to the boundary pointwise estimates. Zbl 1370.35064Breit, D.; Cianchi, A.; Diening, L.; Kuusi, T.; Schwarzacher, S. 23 2017 Dirichlet problems for fully anisotropic elliptic equations. Zbl 1388.35043Barletta, Giuseppina; Cianchi, Andrea 17 2017 Trace-free Korn inequalities in Orlicz spaces. Zbl 1380.46028Breit, D.; Cianchi, A.; Diening, L. 14 2017 Continuity properties of solutions to the \(p\)-Laplace system. Zbl 1378.35145Alberico, Angela; Cianchi, Andrea; Sbordone, Carlo 9 2017 Balls minimize trace constants in BV. Zbl 1373.46025Cianchi, Andrea; Ferone, Vincenzo; Nitsch, Carlo; Trombetti, Cristina 7 2017 Quasilinear elliptic equations on noncompact Riemannian manifolds. Zbl 1382.35110Barletta, Giuseppina; Cianchi, Andrea; Maz’ya, Vladimir 2 2017 Canceling effects in higher-order Hardy-Sobolev inequalities. Zbl 1377.46024Cianchi, Andrea; Ioku, Norisuke 2 2017 Optimal Sobolev trace embeddings. Zbl 1360.46027Cianchi, Andrea; Pick, Luboš 16 2016 Gradient regularity for quasilinear elliptic Dirichlet problems in the plane. Zbl 1353.35164Alberico, Angela; Cianchi, Andrea; Sbordone, Carlo 6 2016 Sobolev inequalities in arbitrary domains. Zbl 1346.46022Cianchi, Andrea; Maz’ya, Vladimir 5 2016 Smooth approximation of Orlicz-Sobolev maps between manifolds. Zbl 1362.46037Carozza, Menita; Cianchi, Andrea 5 2016 Higher-order Sobolev embeddings and isoperimetric inequalities. Zbl 1334.46027Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka 28 2015 Global gradient estimates in elliptic problems under minimal data and domain regularity. Zbl 1325.35027Cianchi, Andrea; Maz’ya, Vladimir 24 2015 Negative Orlicz-Sobolev norms and strongly nonlinear systems in fluid mechanics. Zbl 1337.46024Breit, Dominic; Cianchi, Andrea 9 2015 On the modulus of continuity of solutions to the \(n\)-Laplace equation. Zbl 1378.35112Alberico, Angela; Cianchi, Andrea; Sbordone, Carlo 3 2015 Global boundedness of the gradient for a class of nonlinear elliptic systems. Zbl 1298.35070Cianchi, Andrea; Maz’ya, Vladimir G. 79 2014 Gradient regularity via rearrangements for \(p\)-Laplacian type elliptic boundary value problems. Zbl 1288.35128Cianchi, Andrea; Maz’ya, Vladimir 53 2014 Korn type inequalities in Orlicz spaces. Zbl 1312.46037Cianchi, Andrea 21 2014 A unified approach to Cramér-Rao inequalities. Zbl 1364.94228Cianchi, Andrea; Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong 7 2014 Classical and approximate Taylor expansions of weakly differentiable functions. Zbl 1309.46013Cavaliere, Paola; Cianchi, Andrea 6 2014 Concentration-compactness principles for Moser-Trudinger inequalities: new results and proofs. Zbl 1272.46023Černý, Robert; Cianchi, Andrea; Hencl, Stanislav 34 2013 Bounds for eigenfunctions of the Laplacian on noncompact Riemannian manifolds. Zbl 1280.58018Cianchi, Andrea; Maz’ya, Vladimir G. 7 2013 A sharp trace inequality for functions of bounded variation in the ball. Zbl 1294.46030Cianchi, Andrea 10 2012 Boundedness of solutions to the Schrödinger equation under Neumann boundary conditions. Zbl 1259.35072Cianchi, Andrea; Maz’ya, Vladimir 4 2012 Differentiability properties of functions from higher-order Orlicz-Sobolev spaces. Zbl 1244.46015Cianchi, Andrea; Randolfi, Monia 1 2012 Improving sharp Sobolev type inequalities by optimal remainder gradient norms. Zbl 1276.46023Cianchi, Andrea; Ferone, Adele 1 2012 Global Lipschitz regularity for a class of quasilinear elliptic equations. Zbl 1220.35065Cianchi, Andrea; Maz’ya, Vladimir G. 99 2011 On the isoperimetric deficit in Gauss space. Zbl 1219.28005Cianchi, A.; Fusco, N.; Maggi, F.; Pratelli, A. 52 2011 Nonlinear potentials, local solutions to elliptic equations and rearrangements. Zbl 1235.31009Cianchi, Andrea 17 2011 On the modulus of continuity of weakly differentiable functions. Zbl 1268.46026Cianchi, Andrea; Randolfi, Monia 12 2011 On the discreteness of the spectrum of the Laplacian on noncompact Riemannian manifolds. Zbl 1269.58011Cianchi, Andrea; Maz’ya, Vladimir 5 2011 Orlicz-Sobolev boundary trace embeddings. Zbl 1208.46028Cianchi, Andrea 19 2010 Well-posed elliptic Neumann problems involving irregular data and domains. Zbl 1200.35105Alvino, Angelo; Cianchi, Andrea; Maz’ya, Vladimir G.; Mercaldo, Anna 19 2010 On some aspects of the theory of Orlicz-Sobolev spaces. Zbl 1194.46042Cianchi, Andrea 10 2010 An optimal endpoint trace embedding. Zbl 1208.46029Cianchi, Andrea; Pick, Luboš 7 2010 Affine Moser-Trudinger and Morrey-Sobolev inequalities. Zbl 1202.26029Cianchi, Andrea; Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong 109 2009 Overdetermined anisotropic elliptic problems. Zbl 1179.35107Cianchi, Andrea; Salani, Paolo 69 2009 The sharp Sobolev inequality in quantitative form. Zbl 1185.46025Cianchi, A.; Fusco, N.; Maggi, F.; Pratelli, A. 60 2009 Optimal Gaussian Sobolev embeddings. Zbl 1203.46019Cianchi, Andrea; Pick, Luboš 19 2009 Best remainder norms in Sobolev-Hardy inequalities. Zbl 1177.46021Cianchi, Andrea; Ferone, Adele 7 2009 Quantitative Sobolev and Hardy inequalities, and related symmetrization principles. Zbl 1179.26054Cianchi, Andrea 3 2009 Fractional integrals and \(A_p\)-weights: a sharp estimate. Zbl 1180.26001Alberico, Teresa; Cianchi, Andrea; Sbordone, Carlo 3 2009 Moser–Trudinger trace inequalities. Zbl 1138.46020Cianchi, Andrea 27 2008 Hardy inequalities with non-standard remainder terms. Zbl 1153.26310Cianchi, Andrea; Ferone, Adele 21 2008 A quantitative Pólya-Szegő principle. Zbl 1175.46021Cianchi, Andrea; Esposito, Luca; Fusco, Nicola; Trombetti, Cristina 19 2008 Sharp Morrey–Sobolev inequalities and the distance from extremals. Zbl 1153.46019Cianchi, Andrea 17 2008 Comparison estimates in anisotropic variational problems. Zbl 1357.49137Alberico, Angela; Cianchi, Andrea 14 2008 Boundary trace inequalities and rearrangements. Zbl 1169.46013Cianchi, Andrea; Kerman, Ron; Pick, Luboš 13 2008 Neumann problems and isocapacitary inequalities. Zbl 1146.35041Cianchi, Andrea; Maz’ya, Vladimir G. 13 2008 A strengthened version of the Hardy-Littlewood inequality. Zbl 1155.26017Cianchi, Andrea; Ferone, Adele 5 2008 Orlicz-Sobolev algebras. Zbl 1157.46309Cianchi, Andrea 3 2008 Symmetrization in anisotropic elliptic problems. Zbl 1219.35028Cianchi, Andrea 32 2007 Optimal summability of solutions to nonlinear elliptic problems. Zbl 1387.35282Alberico, Angela; Cianchi, Andrea 5 2007 Borderline sharp estimates for solutions to Neumann problems. Zbl 1225.35075Alberico, Angela; Cianchi, Andrea 3 2007 Steiner symmetric extremals in Pólya-Szegő-type inequalities. Zbl 1110.46021Cianchi, Andrea; Fusco, Nicola 32 2006 Higher-order Sobolev and Poincaré inequalities in Orlicz spaces. Zbl 1120.46015Cianchi, Andrea 19 2006 A quantitative Sobolev inequality in BV. Zbl 1110.46020Cianchi, Andrea 19 2006 Minimal rearrangements, strict convexity and critical points. Zbl 1104.46016Cianchi, Andrea; Fusco, Nicola 7 2006 Dirichlet integrals and Steiner asymmetry. Zbl 1124.46017Cianchi, Andrea; Fusco, Nicola 4 2006 On symmetric functionals of the gradient having symmetric equidistributed minimizers. Zbl 1126.46020Cianchi, Andrea; Ferone, Adele 4 2006 The perimeter inequality under Steiner symmetrization: cases of equality. Zbl 1087.28003Chlebík, Miroslav; Cianchi, Andrea; Fusco, Nicola 41 2005 Moser–Trudinger inequalities without boundary conditions and isoperimetric problems. Zbl 1097.46016Cianchi, Andrea 37 2005 Differentiability properties of Orlicz-Sobolev functions. Zbl 1119.46030Alberico, Angela; Cianchi, Andrea 16 2005 Optimal Orlicz-Sobolev embeddings. Zbl 1061.46031Cianchi, Andrea 55 2004 Symmetrization and second-order Sobolev inequalities. Zbl 1223.46033Cianchi, Andrea 24 2004 Strict monotonicity of functionals under Steiner symmetrization. Zbl 1114.49040Cianchi, Andrea; Fusco, Nicola 3 2004 Sobolev embeddings into spaces of Campanato, Morrey, and Hölder type. Zbl 1031.46039Cianchi, Andrea; Pick, Luboš 13 2003 Functions of bounded variation and rearrangements. Zbl 1028.49035Cianchi, Andrea; Fusco, Nicola 44 2002 Rearrangements of functions in Besov spaces. Zbl 1022.46021Cianchi, Andrea 2 2001 A fully anisotropic Sobolev inequality. Zbl 0966.46017Cianchi, Andrea 42 2000 Local boundedness of minimizers of anisotropic functionals. Zbl 0984.49019Cianchi, Andrea 39 2000 Second-order derivatives and rearrangements. Zbl 1017.46023Cianchi, Andrea 14 2000 A sharp rearrangement inequality for the fractional maximal operator. Zbl 0968.42014Cianchi, A.; Kerman, R.; Opic, B.; Pick, L. 14 2000 Strong and weak type inequalities for some classical operators in Orlicz spaces. Zbl 0940.46015Cianchi, Andrea 39 1999 Gradient regularity for minimizers under general growth conditions. Zbl 0913.49024Cianchi, Andrea; Fusco, Nicola 33 1999 Hardy inequalities in Orlicz spaces. Zbl 0920.46021Cianchi, Andrea 29 1999 ...and 17 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,071 Authors 82 Cianchi, Andrea 33 Pick, Luboš 30 Mingione, Giuseppe 24 Yao, Fengping 23 Maz’ya, Vladimir Gilelevich 21 Alberico, Angela 19 Byun, Sun-Sig 18 Fusco, Nicola 17 Lu, Guozhen 16 Chlebicka, Iwona 16 Guliyev, Vagif Sabir 14 Diening, Lars 13 Deringoz, Fatih 13 Kuusi, Tuomo 13 Leonetti, Francesco 12 Mercaldo, Anna 12 Nguyễn Văn Hoàng 12 Trombetti, Cristina 12 Yang, Deane 12 Zhang, Gaoyong 11 Černý, Robert 11 Ciraolo, Giulio 11 Feo, Filomena 11 Shimomura, Tetsu 11 Slavíková, Lenka 10 Gogatishvili, Amiran 10 Lutwak, Erwin 10 Maggi, Francesco 10 Stroffolini, Bianca 9 Breit, Dominic 9 Esposito, Luca 9 Ferone, Adele 9 Figalli, Alessio 9 Giannetti, Flavia 9 Mihula, Zdeněk 9 Musil, Vít 9 Passarelli di Napoli, Antonia 9 Pratelli, Aldo 8 Böröczky, Karoly jun. 8 Nguyen, Thanh-Nhan 8 Schwarzacher, Sebastian 8 Tran, Minh Phuong 8 Zhang, Zhenqiu 8 Zhou, Shulin 7 Carozza, Menita 7 Colesanti, Andrea 7 Di Blasio, Giuseppina 7 Do Ó, João M. Bezerra 7 Fiorenza, Alberto 7 Gavitone, Nunzia 7 Lam, Nguyen 7 Lin, Youjiang 7 Mizuta, Yoshihiro 7 Nitsch, Carlo 7 Pączka, Dariusz 7 Ruf, Bernhard 7 Salort, Ariel Martin 7 Tarsi, Cristina 7 Volpicelli, Roberta 7 Xiao, Jie 7 Yang, Dachun 7 Zatorska-Goldstein, Anna 7 Zhou, Jiazu 7 Zhu, Guangxian 7 Zhu, Maochun 6 Baroni, Paolo 6 Brock, Friedemann 6 Chen, Lu 6 Della Pietra, Francesco 6 Edmunds, David Eric 6 Ferone, Vincenzo 6 Haberl, Christoph 6 Hasanov, Sabir G. 6 Ioku, Norisuke 6 Jiang, Renjin 6 Kałamajska, Agnieszka 6 Ma, Lingwei 6 Nguyen Tuan Duy 6 Ohno, Takao 6 Ok, Jihoon 6 Sbordone, Carlo 6 Verde, Anna 6 Wang, Lihe 6 Yang, Qiaohua 6 Yang, Sibei 6 Ye, Deping 6 Youn, Yeonghun 6 Zhu, Baocheng 5 Alvino, Angelo 5 Azroul, Elhoussine 5 Balaadich, Farah 5 Balci, Anna Kh. 5 Betta, Maria Francesca 5 Chiacchio, Francesco 5 De Filippis, Cristiana 5 Dolbeault, Jean 5 Duzaar, Frank 5 Gol’dman, Mikhail L’vovich 5 Guarnotta, Umberto 5 Huang, Qingzhong ...and 971 more Authors all top 5 Cited in 208 Serials 86 Journal of Mathematical Analysis and Applications 86 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 64 Calculus of Variations and Partial Differential Equations 58 Journal of Functional Analysis 57 Journal of Differential Equations 43 Advances in Mathematics 25 The Journal of Geometric Analysis 23 Annali di Matematica Pura ed Applicata. Serie Quarta 22 Archive for Rational Mechanics and Analysis 22 Proceedings of the American Mathematical Society 21 Journal de Mathématiques Pures et Appliquées. Neuvième Série 20 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 18 Mathematische Annalen 18 Potential Analysis 18 Communications in Contemporary Mathematics 17 Advances in Applied Mathematics 15 Transactions of the American Mathematical Society 14 Manuscripta Mathematica 12 Mathematische Nachrichten 12 NoDEA. Nonlinear Differential Equations and Applications 11 Journal of the European Mathematical Society (JEMS) 11 Advanced Nonlinear Studies 11 Communications on Pure and Applied Analysis 10 Communications in Partial Differential Equations 10 Positivity 10 Journal of Inequalities and Applications 10 Revista Matemática Complutense 10 Nonlinear Analysis. Real World Applications 10 Advances in Calculus of Variations 9 Discrete and Continuous Dynamical Systems 8 Forum Mathematicum 8 Complex Variables and Elliptic Equations 8 Science China. Mathematics 7 Archiv der Mathematik 7 Zeitschrift für Analysis und ihre Anwendungen 7 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 7 Mediterranean Journal of Mathematics 6 Applicable Analysis 6 Revista Matemática Iberoamericana 6 The Journal of Fourier Analysis and Applications 6 Journal of Function Spaces 5 Studia Mathematica 5 Arkiv för Matematik 5 Ricerche di Matematica 5 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 5 SIAM Journal on Mathematical Analysis 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Discrete and Continuous Dynamical Systems. Series S 5 Advances in Nonlinear Analysis 4 Communications in Mathematical Physics 4 Mathematical Methods in the Applied Sciences 4 Czechoslovak Mathematical Journal 4 Journal für die Reine und Angewandte Mathematik 4 Mathematische Zeitschrift 4 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Doklady Mathematics 4 Bulletin of Mathematical Sciences 4 Journal of Elliptic and Parabolic Equations 3 Israel Journal of Mathematics 3 Nonlinearity 3 Rocky Mountain Journal of Mathematics 3 Ukrainian Mathematical Journal 3 Canadian Mathematical Bulletin 3 Duke Mathematical Journal 3 Inventiones Mathematicae 3 Monatshefte für Mathematik 3 Tôhoku Mathematical Journal. Second Series 3 Geometric and Functional Analysis. GAFA 3 Indagationes Mathematicae. New Series 3 Topological Methods in Nonlinear Analysis 3 Journal of Mathematical Sciences (New York) 3 St. Petersburg Mathematical Journal 3 Advances in Differential Equations 3 Annales Academiae Scientiarum Fennicae. Mathematica 3 Taiwanese Journal of Mathematics 3 Mathematical Inequalities & Applications 3 Acta Mathematica Sinica. English Series 3 Milan Journal of Mathematics 3 Central European Journal of Mathematics 3 Journal of Fixed Point Theory and Applications 3 Journal of Mathematical Inequalities 3 Analysis and Mathematical Physics 3 Annales Fennici Mathematici 2 Computers & Mathematics with Applications 2 Communications on Pure and Applied Mathematics 2 Journal d’Analyse Mathématique 2 Annales de l’Institut Fourier 2 The Annals of Probability 2 Applied Mathematics and Optimization 2 Collectanea Mathematica 2 Colloquium Mathematicum 2 Indiana University Mathematics Journal 2 Journal of Computational and Applied Mathematics 2 Mathematika 2 Memoirs of the American Mathematical Society 2 Numerische Mathematik 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Results in Mathematics 2 Siberian Mathematical Journal 2 Annals of Global Analysis and Geometry ...and 108 more Serials all top 5 Cited in 42 Fields 630 Partial differential equations (35-XX) 442 Functional analysis (46-XX) 198 Real functions (26-XX) 156 Calculus of variations and optimal control; optimization (49-XX) 119 Convex and discrete geometry (52-XX) 72 Harmonic analysis on Euclidean spaces (42-XX) 53 Operator theory (47-XX) 50 Potential theory (31-XX) 48 Differential geometry (53-XX) 45 Global analysis, analysis on manifolds (58-XX) 33 Measure and integration (28-XX) 25 Fluid mechanics (76-XX) 23 Probability theory and stochastic processes (60-XX) 15 Mechanics of deformable solids (74-XX) 14 Functions of a complex variable (30-XX) 11 Difference and functional equations (39-XX) 9 Numerical analysis (65-XX) 8 Biology and other natural sciences (92-XX) 6 Ordinary differential equations (34-XX) 6 Integral equations (45-XX) 5 History and biography (01-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Geometry (51-XX) 5 Statistics (62-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Information and communication theory, circuits (94-XX) 3 General and overarching topics; collections (00-XX) 3 Combinatorics (05-XX) 3 Topological groups, Lie groups (22-XX) 3 Abstract harmonic analysis (43-XX) 3 Computer science (68-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Approximations and expansions (41-XX) 2 Integral transforms, operational calculus (44-XX) 2 Optics, electromagnetic theory (78-XX) 1 Number theory (11-XX) 1 Group theory and generalizations (20-XX) 1 Special functions (33-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Quantum theory (81-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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