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Author ID: cianchi.andrea Recent zbMATH articles by "Cianchi, Andrea"
Published as: Cianchi, Andrea; Cianchi, A.
External Links: MGP · ORCID · Wikidata
all top 5

Serials

8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
7 Journal of Functional Analysis
6 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
3 Advances in Calculus of Variations
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)
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

Publications by Year

Citations contained in zbMATH Open

123 Publications have been cited 2,658 times in 1,395 Documents Cited by Year
Affine Moser-Trudinger and Morrey-Sobolev inequalities. Zbl 1202.26029
Cianchi, Andrea; Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong
120
2009
A sharp embedding theorem for Orlicz-Sobolev spaces. Zbl 0860.46022
Cianchi, Andrea
118
1996
Global Lipschitz regularity for a class of quasilinear elliptic equations. Zbl 1220.35065
Cianchi, Andrea; Maz’ya, Vladimir G.
113
2011
Global boundedness of the gradient for a class of nonlinear elliptic systems. Zbl 1298.35070
Cianchi, Andrea; Maz’ya, Vladimir G.
93
2014
Overdetermined anisotropic elliptic problems. Zbl 1179.35107
Cianchi, Andrea; Salani, Paolo
84
2009
The sharp Sobolev inequality in quantitative form. Zbl 1185.46025
Cianchi, A.; Fusco, N.; Maggi, F.; Pratelli, A.
66
2009
Optimal Orlicz-Sobolev embeddings. Zbl 1061.46031
Cianchi, Andrea
65
2004
On the isoperimetric deficit in Gauss space. Zbl 1219.28005
Cianchi, A.; Fusco, N.; Maggi, F.; Pratelli, A.
61
2011
Strong and weak type inequalities for some classical operators in Orlicz spaces. Zbl 0940.46015
Cianchi, Andrea
60
1999
Sobolev embeddings into BMO, VMO, and \(L_{\infty}\). Zbl 1035.46502
Cianchi, Andrea; Pick, Luboš
60
1998
Gradient regularity via rearrangements for \(p\)-Laplacian type elliptic boundary value problems. Zbl 1288.35128
Cianchi, Andrea; Maz’ya, Vladimir
60
2014
Boundedness of solutions to variational problems under general growth conditions. Zbl 0892.35048
Cianchi, Andrea
56
1997
A fully anisotropic Sobolev inequality. Zbl 0966.46017
Cianchi, Andrea
52
2000
Local boundedness of minimizers of anisotropic functionals. Zbl 0984.49019
Cianchi, Andrea
48
2000
Functions of bounded variation and rearrangements. Zbl 1028.49035
Cianchi, Andrea; Fusco, Nicola
47
2002
The perimeter inequality under Steiner symmetrization: cases of equality. Zbl 1087.28003
Chlebík, Miroslav; Cianchi, Andrea; Fusco, Nicola
46
2005
Second-order two-sided estimates in nonlinear elliptic problems. Zbl 1398.35078
Cianchi, Andrea; Maz’ya, Vladimir G.
45
2018
Moser–Trudinger inequalities without boundary conditions and isoperimetric problems. Zbl 1097.46016
Cianchi, Andrea
42
2005
Symmetrization in anisotropic elliptic problems. Zbl 1219.35028
Cianchi, Andrea
40
2007
Higher-order Sobolev embeddings and isoperimetric inequalities. Zbl 1334.46027
Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka
38
2015
Concentration-compactness principles for Moser-Trudinger inequalities: new results and proofs. Zbl 1272.46023
Černý, Robert; Cianchi, Andrea; Hencl, Stanislav
38
2013
Continuity properties of functions from Orlicz-Sobolev spaces and embedding theorems. Zbl 0877.46023
Cianchi, Andrea
37
1996
Steiner symmetric extremals in Pólya-Szegő-type inequalities. Zbl 1110.46021
Cianchi, Andrea; Fusco, Nicola
36
2006
Gradient regularity for minimizers under general growth conditions. Zbl 0913.49024
Cianchi, Andrea; Fusco, Nicola
35
1999
Quasilinear elliptic problems with general growth and merely integrable, or measure, data. Zbl 1373.35113
Cianchi, Andrea; Maz’ya, Vladimir
35
2017
Hardy inequalities in Orlicz spaces. Zbl 0920.46021
Cianchi, Andrea
30
1999
Maximizing the \(L^ \infty{}\) norm of the gradient of solutions to the Poisson equation. Zbl 0780.35009
Cianchi, Andrea
30
1992
Global gradient estimates in elliptic problems under minimal data and domain regularity. Zbl 1325.35027
Cianchi, Andrea; Maz’ya, Vladimir
29
2015
Pointwise Calderón-Zygmund gradient estimates for the \(p\)-Laplace system. Zbl 1390.35101
Breit, Dominic; Cianchi, Andrea; Diening, Lars; Kuusi, Tuomo; Schwarzacher, Sebastian
29
2018
Moser–Trudinger trace inequalities. Zbl 1138.46020
Cianchi, Andrea
27
2008
Optimal second-order regularity for the \(p\)-Laplace system. Zbl 1437.35404
Cianchi, Andrea; Maz’ya, Vladimir G.
27
2019
Symmetrization and second-order Sobolev inequalities. Zbl 1223.46033
Cianchi, Andrea
26
2004
Dirichlet problems for fully anisotropic elliptic equations. Zbl 1388.35043
Barletta, Giuseppina; Cianchi, Andrea
26
2017
Optimal Gaussian Sobolev embeddings. Zbl 1203.46019
Cianchi, Andrea; Pick, Luboš
25
2009
Hardy inequalities with non-standard remainder terms. Zbl 1153.26310
Cianchi, Andrea; Ferone, Adele
25
2008
On relative isoperimetric inequalities in the plane. Zbl 0674.49030
Cianchi, Andrea
25
1989
Fractional Orlicz-Sobolev embeddings. Zbl 1472.46034
Alberico, Angela; Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka
25
2021
Some results in the theory of Orlicz spaces and applications to variational problems. Zbl 0965.46017
Cianchi, Andrea
24
1999
Fully anisotropic elliptic problems with minimally integrable data. Zbl 1428.35124
Alberico, Angela; Chlebicka, Iwona; Cianchi, Andrea; Zatorska-Goldstein, Anna
24
2019
Korn type inequalities in Orlicz spaces. Zbl 1312.46037
Cianchi, Andrea
24
2014
The \(p\)-Laplace system with right-hand side in divergence form: inner and up to the boundary pointwise estimates. Zbl 1370.35064
Breit, D.; Cianchi, A.; Diening, L.; Kuusi, T.; Schwarzacher, S.
24
2017
A sharp form of Poincaré type inequalities on balls and spheres. Zbl 0707.53034
Cianchi, Andrea
23
1989
A sharp rearrangement inequality for the fractional maximal operator. Zbl 0968.42014
Cianchi, A.; Kerman, R.; Opic, B.; Pick, L.
22
2000
Higher-order Sobolev and Poincaré inequalities in Orlicz spaces. Zbl 1120.46015
Cianchi, Andrea
22
2006
A quantitative Sobolev inequality in BV. Zbl 1110.46020
Cianchi, Andrea
22
2006
Optimal Sobolev trace embeddings. Zbl 1360.46027
Cianchi, Andrea; Pick, Luboš
22
2016
Orlicz-Sobolev boundary trace embeddings. Zbl 1208.46028
Cianchi, Andrea
21
2010
Well-posed elliptic Neumann problems involving irregular data and domains. Zbl 1200.35105
Alvino, Angelo; Cianchi, Andrea; Maz’ya, Vladimir G.; Mercaldo, Anna
20
2010
A quantitative Pólya-Szegő principle. Zbl 1175.46021
Cianchi, Andrea; Esposito, Luca; Fusco, Nicola; Trombetti, Cristina
20
2008
On weighted Poincaré inequalities. Zbl 0858.26009
Cianchi, Andrea; Edmunds, David E.; Gurka, Petr
18
1996
Nonlinear potentials, local solutions to elliptic equations and rearrangements. Zbl 1235.31009
Cianchi, Andrea
18
2011
Sharp Morrey–Sobolev inequalities and the distance from extremals. Zbl 1153.46019
Cianchi, Andrea
18
2008
Trace-free Korn inequalities in Orlicz spaces. Zbl 1380.46028
Breit, D.; Cianchi, A.; Diening, L.
18
2017
Sobolev embeddings into spaces of Campanato, Morrey, and Hölder type. Zbl 1031.46039
Cianchi, Andrea; Pick, Luboš
18
2003
On the limit as \(s\rightarrow 0^+\) of fractional Orlicz-Sobolev spaces. Zbl 1467.46032
Alberico, Angela; Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka
18
2020
Differentiability properties of Orlicz-Sobolev functions. Zbl 1119.46030
Alberico, Angela; Cianchi, Andrea
17
2005
Boundary trace inequalities and rearrangements. Zbl 1169.46013
Cianchi, Andrea; Kerman, Ron; Pick, Luboš
16
2008
Second-order derivatives and rearrangements. Zbl 1017.46023
Cianchi, Andrea
16
2000
On the modulus of continuity of weakly differentiable functions. Zbl 1268.46026
Cianchi, Andrea; Randolfi, Monia
15
2011
An optimal interpolation theorem of Marcinkiewicz type in Orlicz spaces. Zbl 0913.46028
Cianchi, Andrea
14
1998
Sharp Sobolev type embeddings on the entire Euclidean space. Zbl 1405.46024
Alberico, Angela; Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka
14
2018
Neumann problems and isocapacitary inequalities. Zbl 1146.35041
Cianchi, Andrea; Maz’ya, Vladimir G.
14
2008
Comparison estimates in anisotropic variational problems. Zbl 1357.49137
Alberico, Angela; Cianchi, Andrea
14
2008
A pointwise differential inequality and second-order regularity for nonlinear elliptic systems. Zbl 1506.35053
Balci, Anna Kh.; Cianchi, Andrea; Diening, Lars; Maz’ya, Vladimir
13
2022
Sobolev embeddings, rearrangement-invariant spaces and Frostman measures. Zbl 1440.46030
Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka
12
2020
Elliptic equations on manifolds and isoperimetric inequalities. Zbl 0709.58037
Cianchi, Andrea
12
1990
On some aspects of the theory of Orlicz-Sobolev spaces. Zbl 1194.46042
Cianchi, Andrea
11
2010
Continuity properties of solutions to the \(p\)-Laplace system. Zbl 1378.35145
Alberico, Angela; Cianchi, Andrea; Sbordone, Carlo
11
2017
On the limit as \(s\to 1^-\) of possibly non-separable fractional Orlicz-Sobolev spaces. Zbl 1479.46036
Alberico, Angela; Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka
11
2020
Negative Orlicz-Sobolev norms and strongly nonlinear systems in fluid mechanics. Zbl 1337.46024
Breit, Dominic; Cianchi, Andrea
10
2015
Second-order regularity for parabolic \(p\)-Laplace problems. Zbl 1439.35204
Cianchi, Andrea; Maz’ya, Vladimir G.
10
2020
An extension of Hedberg’s convolution inequality and applications. Zbl 0914.42014
Cianchi, Andrea; Stroffolini, Bianca
10
1998
On fractional Orlicz-Sobolev spaces. Zbl 1477.46039
Alberico, Angela; Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka
10
2021
Sobolev inequalities in arbitrary domains. Zbl 1346.46022
Cianchi, Andrea; Maz’ya, Vladimir
10
2016
A sharp trace inequality for functions of bounded variation in the ball. Zbl 1294.46030
Cianchi, Andrea
10
2012
On the discreteness of the spectrum of the Laplacian on noncompact Riemannian manifolds. Zbl 1269.58011
Cianchi, Andrea; Maz’ya, Vladimir
9
2011
Optimal domain spaces in Orlicz-Sobolev embeddings. Zbl 1440.46028
Cianchi, Andrea; Musil, Vit
9
2019
Best remainder norms in Sobolev-Hardy inequalities. Zbl 1177.46021
Cianchi, Andrea; Ferone, Adele
9
2009
Bounds for eigenfunctions of the Laplacian on noncompact Riemannian manifolds. Zbl 1280.58018
Cianchi, Andrea; Maz’ya, Vladimir G.
9
2013
Potential estimates for the \(p\)-Laplace system with data in divergence form. Zbl 1395.35051
Cianchi, A.; Schwarzacher, S.
8
2018
An optimal endpoint trace embedding. Zbl 1208.46029
Cianchi, Andrea; Pick, Luboš
8
2010
Minimal rearrangements, strict convexity and critical points. Zbl 1104.46016
Cianchi, Andrea; Fusco, Nicola
8
2006
Sobolev embeddings in Orlicz and Lorentz spaces with measures. Zbl 1450.46019
Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka
8
2020
Interpolation of operators and the Sobolev embedding theorem on Orlicz spaces. Zbl 1011.46025
Cianchi, Andrea
7
1998
Global Schauder estimates for the \(p\)-Laplace system. Zbl 1481.35235
Breit, D.; Cianchi, A.; Diening, L.; Schwarzacher, S.
7
2022
A unified approach to Cramér-Rao inequalities. Zbl 1364.94228
Cianchi, Andrea; Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong
7
2014
Balls minimize trace constants in BV. Zbl 1373.46025
Cianchi, Andrea; Ferone, Vincenzo; Nitsch, Carlo; Trombetti, Cristina
7
2017
Optimal summability of solutions to nonlinear elliptic problems. Zbl 1387.35282
Alberico, Angela; Cianchi, Andrea
6
2007
A strengthened version of the Hardy-Littlewood inequality. Zbl 1155.26017
Cianchi, Andrea; Ferone, Adele
6
2008
Moser inequalities in Gauss space. Zbl 1460.46022
Cianchi, Andrea; Musil, Vít; Pick, Luboš
6
2020
Gradient regularity for quasilinear elliptic Dirichlet problems in the plane. Zbl 1353.35164
Alberico, Angela; Cianchi, Andrea; Sbordone, Carlo
6
2016
Classical and approximate Taylor expansions of weakly differentiable functions. Zbl 1309.46013
Cavaliere, Paola; Cianchi, Andrea
6
2014
On fractional integration in weighted Lorentz spaces. Zbl 0998.26009
Cianchi, Andrea; Edmunds, David E.
5
1997
Dirichlet integrals and Steiner asymmetry. Zbl 1124.46017
Cianchi, Andrea; Fusco, Nicola
5
2006
Boundedness of solutions to the Schrödinger equation under Neumann boundary conditions. Zbl 1259.35072
Cianchi, Andrea; Maz’ya, Vladimir
5
2012
Smooth approximation of Orlicz-Sobolev maps between manifolds. Zbl 1362.46037
Carozza, Menita; Cianchi, Andrea
5
2016
On the \(L^ q\) norm of functions having equidistributed gradients. Zbl 0884.49011
Cianchi, Andrea
4
1996
Quasilinear elliptic equations on noncompact Riemannian manifolds. Zbl 1382.35110
Barletta, Giuseppina; Cianchi, Andrea; Maz’ya, Vladimir
4
2017
Borderline sharp estimates for solutions to Neumann problems. Zbl 1225.35075
Alberico, Angela; Cianchi, Andrea
4
2007
Fractional integrals and \(A_p\)-weights: a sharp estimate. Zbl 1180.26001
Alberico, Teresa; Cianchi, Andrea; Sbordone, Carlo
4
2009
Boundedness of solutions to Dirichlet, Neumann and Robin problems for elliptic equations in Orlicz spaces. Zbl 1506.35054
Barletta, Giuseppina; Cianchi, Andrea; Marino, Greta
2
2023
Sobolev embeddings into Orlicz spaces and isocapacitary inequalities. Zbl 1510.46017
Cianchi, Andrea; Maz’ya, Vladimir G.
1
2023
Boundedness of functions in fractional Orlicz-Sobolev spaces. Zbl 07668136
Alberico, Angela; Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka
1
2023
A pointwise differential inequality and second-order regularity for nonlinear elliptic systems. Zbl 1506.35053
Balci, Anna Kh.; Cianchi, Andrea; Diening, Lars; Maz’ya, Vladimir
13
2022
Global Schauder estimates for the \(p\)-Laplace system. Zbl 1481.35235
Breit, D.; Cianchi, A.; Diening, L.; Schwarzacher, S.
7
2022
On the existence of extremals for Moser-type inequalities in Gauss space. Zbl 1494.46032
Cianchi, Andrea; Musil, Vít; Pick, Luboš
2
2022
Fractional Orlicz-Sobolev embeddings. Zbl 1472.46034
Alberico, Angela; Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka
25
2021
On fractional Orlicz-Sobolev spaces. Zbl 1477.46039
Alberico, Angela; Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka
10
2021
Symmetric gradient Sobolev spaces endowed with rearrangement-invariant norms. Zbl 1485.46037
Breit, Dominic; Cianchi, Andrea
4
2021
Sharp exponential inequalities for the Ornstein-Uhlenbeck operator. Zbl 1485.46038
Cianchi, Andrea; Musil, Vít; Pick, Luboš
2
2021
Continuity properties of weakly monotone Orlicz-Sobolev functions. Zbl 1469.46027
Carozza, Menita; Cianchi, Andrea
2
2021
On the limit as \(s\rightarrow 0^+\) of fractional Orlicz-Sobolev spaces. Zbl 1467.46032
Alberico, Angela; Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka
18
2020
Sobolev embeddings, rearrangement-invariant spaces and Frostman measures. Zbl 1440.46030
Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka
12
2020
On the limit as \(s\to 1^-\) of possibly non-separable fractional Orlicz-Sobolev spaces. Zbl 1479.46036
Alberico, Angela; Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka
11
2020
Second-order regularity for parabolic \(p\)-Laplace problems. Zbl 1439.35204
Cianchi, Andrea; Maz’ya, Vladimir G.
10
2020
Sobolev embeddings in Orlicz and Lorentz spaces with measures. Zbl 1450.46019
Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka
8
2020
Moser inequalities in Gauss space. Zbl 1460.46022
Cianchi, Andrea; Musil, Vít; Pick, Luboš
6
2020
Sobolev inequalities for the symmetric gradient in arbitrary domains. Zbl 1451.46033
Cianchi, Andrea; Maz’ya, Vladimir G.
4
2020
Optimal second-order regularity for the \(p\)-Laplace system. Zbl 1437.35404
Cianchi, Andrea; Maz’ya, Vladimir G.
27
2019
Fully anisotropic elliptic problems with minimally integrable data. Zbl 1428.35124
Alberico, Angela; Chlebicka, Iwona; Cianchi, Andrea; Zatorska-Goldstein, Anna
24
2019
Optimal domain spaces in Orlicz-Sobolev embeddings. Zbl 1440.46028
Cianchi, Andrea; Musil, Vit
9
2019
Second-order two-sided estimates in nonlinear elliptic problems. Zbl 1398.35078
Cianchi, Andrea; Maz’ya, Vladimir G.
45
2018
Pointwise Calderón-Zygmund gradient estimates for the \(p\)-Laplace system. Zbl 1390.35101
Breit, Dominic; Cianchi, Andrea; Diening, Lars; Kuusi, Tuomo; Schwarzacher, Sebastian
29
2018
Sharp Sobolev type embeddings on the entire Euclidean space. Zbl 1405.46024
Alberico, Angela; Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka
14
2018
Potential estimates for the \(p\)-Laplace system with data in divergence form. Zbl 1395.35051
Cianchi, A.; Schwarzacher, S.
8
2018
Norms supporting the Lebesgue differentiation theorem. Zbl 1400.46023
Cavaliere, Paola; Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka
1
2018
On the continuity of weakly monotone functions. Zbl 1410.46017
Carozza, Menita; Cianchi, Andrea
1
2018
Poincaré trace inequalities in \(BV({\mathbb {B}}^n)\) with non-standard normalization. Zbl 1411.46029
Cianchi, Andrea; Ferone, Vincenzo; Nitsch, Carlo; Trombetti, Cristina
1
2018
Quasilinear elliptic problems with general growth and merely integrable, or measure, data. Zbl 1373.35113
Cianchi, Andrea; Maz’ya, Vladimir
35
2017
Dirichlet problems for fully anisotropic elliptic equations. Zbl 1388.35043
Barletta, Giuseppina; Cianchi, Andrea
26
2017
The \(p\)-Laplace system with right-hand side in divergence form: inner and up to the boundary pointwise estimates. Zbl 1370.35064
Breit, D.; Cianchi, A.; Diening, L.; Kuusi, T.; Schwarzacher, S.
24
2017
Trace-free Korn inequalities in Orlicz spaces. Zbl 1380.46028
Breit, D.; Cianchi, A.; Diening, L.
18
2017
Continuity properties of solutions to the \(p\)-Laplace system. Zbl 1378.35145
Alberico, Angela; Cianchi, Andrea; Sbordone, Carlo
11
2017
Balls minimize trace constants in BV. Zbl 1373.46025
Cianchi, Andrea; Ferone, Vincenzo; Nitsch, Carlo; Trombetti, Cristina
7
2017
Quasilinear elliptic equations on noncompact Riemannian manifolds. Zbl 1382.35110
Barletta, Giuseppina; Cianchi, Andrea; Maz’ya, Vladimir
4
2017
Canceling effects in higher-order Hardy-Sobolev inequalities. Zbl 1377.46024
Cianchi, Andrea; Ioku, Norisuke
2
2017
Optimal Sobolev trace embeddings. Zbl 1360.46027
Cianchi, Andrea; Pick, Luboš
22
2016
Sobolev inequalities in arbitrary domains. Zbl 1346.46022
Cianchi, Andrea; Maz’ya, Vladimir
10
2016
Gradient regularity for quasilinear elliptic Dirichlet problems in the plane. Zbl 1353.35164
Alberico, Angela; Cianchi, Andrea; Sbordone, Carlo
6
2016
Smooth approximation of Orlicz-Sobolev maps between manifolds. Zbl 1362.46037
Carozza, Menita; Cianchi, Andrea
5
2016
Higher-order Sobolev embeddings and isoperimetric inequalities. Zbl 1334.46027
Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka
38
2015
Global gradient estimates in elliptic problems under minimal data and domain regularity. Zbl 1325.35027
Cianchi, Andrea; Maz’ya, Vladimir
29
2015
Negative Orlicz-Sobolev norms and strongly nonlinear systems in fluid mechanics. Zbl 1337.46024
Breit, Dominic; Cianchi, Andrea
10
2015
On the modulus of continuity of solutions to the \(n\)-Laplace equation. Zbl 1378.35112
Alberico, Angela; Cianchi, Andrea; Sbordone, Carlo
3
2015
Global boundedness of the gradient for a class of nonlinear elliptic systems. Zbl 1298.35070
Cianchi, Andrea; Maz’ya, Vladimir G.
93
2014
Gradient regularity via rearrangements for \(p\)-Laplacian type elliptic boundary value problems. Zbl 1288.35128
Cianchi, Andrea; Maz’ya, Vladimir
60
2014
Korn type inequalities in Orlicz spaces. Zbl 1312.46037
Cianchi, Andrea
24
2014
A unified approach to Cramér-Rao inequalities. Zbl 1364.94228
Cianchi, Andrea; Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong
7
2014
Classical and approximate Taylor expansions of weakly differentiable functions. Zbl 1309.46013
Cavaliere, Paola; Cianchi, Andrea
6
2014
Concentration-compactness principles for Moser-Trudinger inequalities: new results and proofs. Zbl 1272.46023
Černý, Robert; Cianchi, Andrea; Hencl, Stanislav
38
2013
Bounds for eigenfunctions of the Laplacian on noncompact Riemannian manifolds. Zbl 1280.58018
Cianchi, Andrea; Maz’ya, Vladimir G.
9
2013
A sharp trace inequality for functions of bounded variation in the ball. Zbl 1294.46030
Cianchi, Andrea
10
2012
Boundedness of solutions to the Schrödinger equation under Neumann boundary conditions. Zbl 1259.35072
Cianchi, Andrea; Maz’ya, Vladimir
5
2012
Improving sharp Sobolev type inequalities by optimal remainder gradient norms. Zbl 1276.46023
Cianchi, Andrea; Ferone, Adele
4
2012
Differentiability properties of functions from higher-order Orlicz-Sobolev spaces. Zbl 1244.46015
Cianchi, Andrea; Randolfi, Monia
2
2012
Global Lipschitz regularity for a class of quasilinear elliptic equations. Zbl 1220.35065
Cianchi, Andrea; Maz’ya, Vladimir G.
113
2011
On the isoperimetric deficit in Gauss space. Zbl 1219.28005
Cianchi, A.; Fusco, N.; Maggi, F.; Pratelli, A.
61
2011
Nonlinear potentials, local solutions to elliptic equations and rearrangements. Zbl 1235.31009
Cianchi, Andrea
18
2011
On the modulus of continuity of weakly differentiable functions. Zbl 1268.46026
Cianchi, Andrea; Randolfi, Monia
15
2011
On the discreteness of the spectrum of the Laplacian on noncompact Riemannian manifolds. Zbl 1269.58011
Cianchi, Andrea; Maz’ya, Vladimir
9
2011
Orlicz-Sobolev boundary trace embeddings. Zbl 1208.46028
Cianchi, Andrea
21
2010
Well-posed elliptic Neumann problems involving irregular data and domains. Zbl 1200.35105
Alvino, Angelo; Cianchi, Andrea; Maz’ya, Vladimir G.; Mercaldo, Anna
20
2010
On some aspects of the theory of Orlicz-Sobolev spaces. Zbl 1194.46042
Cianchi, Andrea
11
2010
An optimal endpoint trace embedding. Zbl 1208.46029
Cianchi, Andrea; Pick, Luboš
8
2010
Affine Moser-Trudinger and Morrey-Sobolev inequalities. Zbl 1202.26029
Cianchi, Andrea; Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong
120
2009
Overdetermined anisotropic elliptic problems. Zbl 1179.35107
Cianchi, Andrea; Salani, Paolo
84
2009
The sharp Sobolev inequality in quantitative form. Zbl 1185.46025
Cianchi, A.; Fusco, N.; Maggi, F.; Pratelli, A.
66
2009
Optimal Gaussian Sobolev embeddings. Zbl 1203.46019
Cianchi, Andrea; Pick, Luboš
25
2009
Best remainder norms in Sobolev-Hardy inequalities. Zbl 1177.46021
Cianchi, Andrea; Ferone, Adele
9
2009
Fractional integrals and \(A_p\)-weights: a sharp estimate. Zbl 1180.26001
Alberico, Teresa; Cianchi, Andrea; Sbordone, Carlo
4
2009
Quantitative Sobolev and Hardy inequalities, and related symmetrization principles. Zbl 1179.26054
Cianchi, Andrea
3
2009
Moser–Trudinger trace inequalities. Zbl 1138.46020
Cianchi, Andrea
27
2008
Hardy inequalities with non-standard remainder terms. Zbl 1153.26310
Cianchi, Andrea; Ferone, Adele
25
2008
A quantitative Pólya-Szegő principle. Zbl 1175.46021
Cianchi, Andrea; Esposito, Luca; Fusco, Nicola; Trombetti, Cristina
20
2008
Sharp Morrey–Sobolev inequalities and the distance from extremals. Zbl 1153.46019
Cianchi, Andrea
18
2008
Boundary trace inequalities and rearrangements. Zbl 1169.46013
Cianchi, Andrea; Kerman, Ron; Pick, Luboš
16
2008
Neumann problems and isocapacitary inequalities. Zbl 1146.35041
Cianchi, Andrea; Maz’ya, Vladimir G.
14
2008
Comparison estimates in anisotropic variational problems. Zbl 1357.49137
Alberico, Angela; Cianchi, Andrea
14
2008
A strengthened version of the Hardy-Littlewood inequality. Zbl 1155.26017
Cianchi, Andrea; Ferone, Adele
6
2008
Orlicz-Sobolev algebras. Zbl 1157.46309
Cianchi, Andrea
3
2008
Symmetrization in anisotropic elliptic problems. Zbl 1219.35028
Cianchi, Andrea
40
2007
Optimal summability of solutions to nonlinear elliptic problems. Zbl 1387.35282
Alberico, Angela; Cianchi, Andrea
6
2007
Borderline sharp estimates for solutions to Neumann problems. Zbl 1225.35075
Alberico, Angela; Cianchi, Andrea
4
2007
Steiner symmetric extremals in Pólya-Szegő-type inequalities. Zbl 1110.46021
Cianchi, Andrea; Fusco, Nicola
36
2006
Higher-order Sobolev and Poincaré inequalities in Orlicz spaces. Zbl 1120.46015
Cianchi, Andrea
22
2006
A quantitative Sobolev inequality in BV. Zbl 1110.46020
Cianchi, Andrea
22
2006
Minimal rearrangements, strict convexity and critical points. Zbl 1104.46016
Cianchi, Andrea; Fusco, Nicola
8
2006
Dirichlet integrals and Steiner asymmetry. Zbl 1124.46017
Cianchi, Andrea; Fusco, Nicola
5
2006
On symmetric functionals of the gradient having symmetric equidistributed minimizers. Zbl 1126.46020
Cianchi, Andrea; Ferone, Adele
4
2006
The perimeter inequality under Steiner symmetrization: cases of equality. Zbl 1087.28003
Chlebík, Miroslav; Cianchi, Andrea; Fusco, Nicola
46
2005
Moser–Trudinger inequalities without boundary conditions and isoperimetric problems. Zbl 1097.46016
Cianchi, Andrea
42
2005
Differentiability properties of Orlicz-Sobolev functions. Zbl 1119.46030
Alberico, Angela; Cianchi, Andrea
17
2005
Optimal Orlicz-Sobolev embeddings. Zbl 1061.46031
Cianchi, Andrea
65
2004
Symmetrization and second-order Sobolev inequalities. Zbl 1223.46033
Cianchi, Andrea
26
2004
Strict monotonicity of functionals under Steiner symmetrization. Zbl 1114.49040
Cianchi, Andrea; Fusco, Nicola
3
2004
Sobolev embeddings into spaces of Campanato, Morrey, and Hölder type. Zbl 1031.46039
Cianchi, Andrea; Pick, Luboš
18
2003
Functions of bounded variation and rearrangements. Zbl 1028.49035
Cianchi, Andrea; Fusco, Nicola
47
2002
Rearrangements of functions in Besov spaces. Zbl 1022.46021
Cianchi, Andrea
2
2001
A fully anisotropic Sobolev inequality. Zbl 0966.46017
Cianchi, Andrea
52
2000
Local boundedness of minimizers of anisotropic functionals. Zbl 0984.49019
Cianchi, Andrea
48
2000
...and 23 more Documents
all top 5

Cited by 1,282 Authors

90 Cianchi, Andrea
39 Pick, Luboš
33 Mingione, Giuseppe
27 Yao, Fengping
25 Maz’ya, Vladimir Gilelevich
24 Alberico, Angela
24 Byun, Sun-Sig
20 Lu, Guozhen
19 Chlebicka, Iwona
19 Diening, Lars
19 Fusco, Nicola
18 Guliyev, Vagif Sabir
17 Shimomura, Tetsu
14 Deringoz, Fatih
14 Leonetti, Francesco
14 Mercaldo, Anna
14 Passarelli di Napoli, Antonia
14 Trombetti, Cristina
13 Kuusi, Tuomo
13 Slavíková, Lenka
13 Yang, Deane
13 Zhang, Gaoyong
12 Ciraolo, Giulio
12 Gogatishvili, Amiran
12 Mihula, Zdeněk
12 Mizuta, Yoshihiro
12 Nguyễn Văn Hoàng
11 Černý, Robert
11 Feo, Filomena
11 Giannetti, Flavia
11 Lutwak, Erwin
11 Maggi, Francesco
10 Breit, Dominic
10 Esposito, Luca
10 Ferone, Adele
10 Musil, Vít
10 Salort, Ariel Martin
10 Stroffolini, Bianca
9 Chen, Lu
9 Figalli, Alessio
9 Gavitone, Nunzia
9 Lam, Nguyen
9 Nitsch, Carlo
9 Ohno, Takao
9 Pratelli, Aldo
9 Xiao, Jie
8 Böröczky, Karoly jun.
8 Carozza, Menita
8 Di Blasio, Giuseppina
8 Nguyen, Thanh-Nhan
8 Schwarzacher, Sebastian
8 Tran, Minh Phuong
8 Yang, Dachun
8 Zhang, Zhenqiu
8 Zhou, Jiazu
8 Zhou, Shulin
8 Zhu, Maochun
7 Balci, Anna Kh.
7 Barletta, Giuseppina
7 Baroni, Paolo
7 Chiacchio, Francesco
7 Colesanti, Andrea
7 De Filippis, Cristiana
7 Do Ó, João M. Bezerra
7 Edmunds, David Eric
7 Ferone, Vincenzo
7 Fiorenza, Alberto
7 Guarnotta, Umberto
7 Ioku, Norisuke
7 Lin, Youjiang
7 Marcellini, Paolo
7 Ok, Jihoon
7 Pączka, Dariusz
7 Ruf, Bernhard
7 Tarsi, Cristina
7 Volpicelli, Roberta
7 Wang, Hejun
7 Wang, Lihe
7 Youn, Yeonghun
7 Zatorska-Goldstein, Anna
7 Zhu, Baocheng
7 Zhu, Guangxian
6 Azroul, Elhoussine
6 Brandolini, Barbara
6 Brock, Friedemann
6 Della Pietra, Francesco
6 Dolbeault, Jean
6 Duzaar, Frank
6 Fang, Niufa
6 Figueiredo, Giovany Malcher
6 Haberl, Christoph
6 Hasanov, Sabir G.
6 Jiang, Renjin
6 Kałamajska, Agnieszka
6 Křepela, Martin
6 Ludwig, Monika
6 Ma, Lingwei
6 Maksymiuk, Jakub
6 Mascolo, Elvira
6 Montoro, Luigi
...and 1,182 more Authors
all top 5

Cited in 227 Serials

98 Journal of Mathematical Analysis and Applications
90 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
85 Calculus of Variations and Partial Differential Equations
63 Journal of Functional Analysis
60 Journal of Differential Equations
46 Advances in Mathematics
34 The Journal of Geometric Analysis
31 Mathematische Nachrichten
28 Annali di Matematica Pura ed Applicata. Serie Quarta
25 Mathematische Annalen
24 Archive for Rational Mechanics and Analysis
24 Proceedings of the American Mathematical Society
23 Journal de Mathématiques Pures et Appliquées. Neuvième Série
22 Potential Analysis
20 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
20 Communications in Contemporary Mathematics
17 Advances in Applied Mathematics
15 Manuscripta Mathematica
15 Transactions of the American Mathematical Society
15 NoDEA. Nonlinear Differential Equations and Applications
13 Advanced Nonlinear Studies
13 Advances in Calculus of Variations
12 Mathematical Methods in the Applied Sciences
12 Discrete and Continuous Dynamical Systems
12 Revista Matemática Complutense
12 Journal of the European Mathematical Society (JEMS)
11 Nonlinear Analysis. Real World Applications
11 Communications on Pure and Applied Analysis
10 Forum Mathematicum
10 Communications in Partial Differential Equations
10 Positivity
10 Journal of Inequalities and Applications
9 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
9 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
9 Complex Variables and Elliptic Equations
9 Discrete and Continuous Dynamical Systems. Series S
9 Science China. Mathematics
8 Archiv der Mathematik
8 Mediterranean Journal of Mathematics
7 Zeitschrift für Analysis und ihre Anwendungen
7 Revista Matemática Iberoamericana
7 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
7 SIAM Journal on Mathematical Analysis
7 Advances in Nonlinear Analysis
7 Mathematics in Engineering
6 Applicable Analysis
6 Ricerche di Matematica
6 The Journal of Fourier Analysis and Applications
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Analysis and Mathematical Physics
6 Journal of Function Spaces
5 Communications on Pure and Applied Mathematics
5 Studia Mathematica
5 Arkiv för Matematik
5 Czechoslovak Mathematical Journal
5 Topological Methods in Nonlinear Analysis
5 Bulletin of Mathematical Sciences
5 Journal of Elliptic and Parabolic Equations
4 Communications in Mathematical Physics
4 Rocky Mountain Journal of Mathematics
4 Inventiones Mathematicae
4 Journal für die Reine und Angewandte Mathematik
4 Mathematische Zeitschrift
4 Tôhoku Mathematical Journal. Second Series
4 Applied Mathematics Letters
4 Journal of Mathematical Sciences (New York)
4 Doklady Mathematics
4 Mathematical Inequalities & Applications
4 Acta Mathematica Sinica. English Series
4 Advances in Operator Theory
4 Annales Fennici Mathematici
3 Israel Journal of Mathematics
3 Nonlinearity
3 Ukrainian Mathematical Journal
3 Applied Mathematics and Optimization
3 Canadian Mathematical Bulletin
3 Duke Mathematical Journal
3 Journal of the London Mathematical Society. Second Series
3 Mathematika
3 Monatshefte für Mathematik
3 Numerische Mathematik
3 Results in Mathematics
3 Geometric and Functional Analysis. GAFA
3 Indagationes Mathematicae. New Series
3 St. Petersburg Mathematical Journal
3 Bulletin des Sciences Mathématiques
3 Advances in Differential Equations
3 Annales Academiae Scientiarum Fennicae. Mathematica
3 Taiwanese Journal of Mathematics
3 Fractional Calculus & Applied Analysis
3 Milan Journal of Mathematics
3 Central European Journal of Mathematics
3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
3 Boundary Value Problems
3 Journal of Fixed Point Theory and Applications
3 Journal of Mathematical Inequalities
3 Analysis & PDE
2 Computers & Mathematics with Applications
2 Journal d’Analyse Mathématique
2 Acta Scientiarum Mathematicarum
...and 127 more Serials
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Cited in 46 Fields

784 Partial differential equations (35-XX)
526 Functional analysis (46-XX)
236 Real functions (26-XX)
178 Calculus of variations and optimal control; optimization (49-XX)
133 Convex and discrete geometry (52-XX)
88 Harmonic analysis on Euclidean spaces (42-XX)
71 Operator theory (47-XX)
57 Potential theory (31-XX)
57 Differential geometry (53-XX)
52 Global analysis, analysis on manifolds (58-XX)
40 Measure and integration (28-XX)
31 Probability theory and stochastic processes (60-XX)
26 Fluid mechanics (76-XX)
18 Functions of a complex variable (30-XX)
18 Mechanics of deformable solids (74-XX)
16 Difference and functional equations (39-XX)
16 Numerical analysis (65-XX)
11 Biology and other natural sciences (92-XX)
7 Ordinary differential equations (34-XX)
6 Several complex variables and analytic spaces (32-XX)
6 Approximations and expansions (41-XX)
6 Integral equations (45-XX)
6 Geometry (51-XX)
6 Statistics (62-XX)
5 History and biography (01-XX)
5 Dynamical systems and ergodic theory (37-XX)
5 Statistical mechanics, structure of matter (82-XX)
4 General and overarching topics; collections (00-XX)
4 Combinatorics (05-XX)
4 Abstract harmonic analysis (43-XX)
4 Computer science (68-XX)
4 Optics, electromagnetic theory (78-XX)
4 Information and communication theory, circuits (94-XX)
3 Topological groups, Lie groups (22-XX)
3 Quantum theory (81-XX)
2 Number theory (11-XX)
2 Special functions (33-XX)
2 Integral transforms, operational calculus (44-XX)
2 Systems theory; control (93-XX)
1 Group theory and generalizations (20-XX)
1 Sequences, series, summability (40-XX)
1 General topology (54-XX)
1 Manifolds and cell complexes (57-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Operations research, mathematical programming (90-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year

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