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Applicable Analysis
An International Journal
Volume 12, 1981 - Issue 4
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Original Articles

Sharp estimates for solutions to a certain type of singular elliptic boundary value problems in two dimensions

Carla Maderna Instituto Matematico, “F. Enriques”, via Saldini 50, Milano, 20133, Italy
&
Sandro Salsa Instituto Matematico, “F. Enriques”, via Saldini 50, Milano, 20133, Italy
Pages 307-321 | Published online: 10 May 2007

Citations (20)

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A. Alvino, F. Brock, F. Chiacchio, A. Mercaldo & M. R. Posteraro. (2019) On weighted isoperimetric inequalities with non-radial densities. Applicable Analysis 98:10, pages 1935-1945.
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Articles from other publishers (19)

N. Q. Nga, N. M. Tri & D. A. Tuan. (2024) Pólya–Szegö type inequality and imbedding theorems for weighted Sobolev spaces. Analysis and Mathematical Physics 14:2.
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Barbara Brandolini, Antoine Henrot, Anna Mercaldo & Maria Rosaria Posteraro. (2023) Isoperimetric Sets for Weighted Twisted Eigenvalues. The Journal of Geometric Analysis 33:11.
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Vladimir Bobkov & Enea Parini. (2020) On the Cheeger problem for rotationally invariant domains. manuscripta mathematica 166:3-4, pages 503-522.
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Angelo Alvino, Friedemann Brock, Francesco Chiacchio, Anna Mercaldo & Maria Rosaria Posteraro. (2021) Some isoperimetric inequalities with respect to monomial weights. ESAIM: Control, Optimisation and Calculus of Variations 27, pages S3.
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F. Brock & F. Chiacchio. (2020) Some Weighted Isoperimetric Problems on $${\mathbb {R}}^N _+ $$ with Stable Half Balls Have No Solutions. Journal of Fourier Analysis and Applications 26:1.
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A. Alvino, F. Brock, F. Chiacchio, A. Mercaldo & M.R. Posteraro. (2019) The isoperimetric problem for a class of non-radial weights and applications. Journal of Differential Equations 267:12, pages 6831-6871.
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Matteo Bonforte & Nikita Simonov. (2019) Quantitative a priori estimates for fast diffusion equations with Caffarelli–Kohn–Nirenberg weights. Harnack inequalities and Hölder continuity. Advances in Mathematics 345, pages 1075-1161.
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F. Brock, F. Chiacchio & A. Mercaldo. (2016) An isoperimetric inequality for Gauss-like product measures. Journal de Mathématiques Pures et Appliquées 106:2, pages 375-391.
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F. Brock, F. Chiacchio & A. Mercaldo. (2013) A Weighted Isoperimetric Inequality in an Orthant. Potential Analysis 41:1, pages 171-186.
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Abdelhalim Hasnaoui & Lotfi Hermi. (2013) Isoperimetric Inequalities for a Wedge-Like Membrane. Annales Henri Poincaré 15:2, pages 369-406.
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Xavier Cabré & Xavier Ros-Oton. (2013) Sobolev and isoperimetric inequalities with monomial weights. Journal of Differential Equations 255:11, pages 4312-4336.
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A. Figalli & F. Maggi. (2012) On the isoperimetric problem for radial log-convex densities. Calculus of Variations and Partial Differential Equations 48:3-4, pages 447-489.
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Xavier Cabré, Xavier Ros-Oton & Joaquim Serra. (2012) Euclidean balls solve some isoperimetric problems with nonradial weights. Comptes Rendus. Mathématique 350:21-22, pages 945-947.
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F. Brock, F. Chiacchio & A. Mercaldo. (2012) Weighted isoperimetric inequalities in cones and applications. Nonlinear Analysis: Theory, Methods & Applications 75:15, pages 5737-5755.
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Jesse Ratzkin. (2010) Eigenvalues of Euclidean wedge domains in higher dimensions. Calculus of Variations and Partial Differential Equations 42:1-2, pages 93-106.
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F. Brock, F. Chiacchio & A. Mercaldo. (2008) A class of degenerate elliptic equations and a Dido's problem with respect to a measure. Journal of Mathematical Analysis and Applications 348:1, pages 356-365.
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Giorgio Talenti. (1997) A weighted version of a rearrangement inequality. ANNALI DELL UNIVERSITA DI FERRARA 43:1, pages 121-133.
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Carla Maderna & Sandro Salsa. (1987) Dirichlet problem for elliptic equations with nonlinear first order terms: a comparison result. Annali di Matematica Pura ed Applicata 148:1, pages 277-288.
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Giorgio Talenti. 1986. Nonlinear Diffusion Problems. Nonlinear Diffusion Problems 153 178 .

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