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

DOI10.1080/00036818108839370zbMath0445.35016OpenAlexW2038484252WikidataQ58248600 ScholiaQ58248600MaRDI QIDQ3889426

Sandro Salsa, Carla Maderna

Publication date: 1981

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036818108839370

zbMATH Keywords

isoperimetric inequalitysingularitysharp estimatesaxially symmetric solutionssingular elliptic boundary value problems

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) A priori estimates in context of PDEs (35B45)

Related Items (19)

An isoperimetric inequality for Gauss-like product measures ⋮ Sobolev and isoperimetric inequalities with monomial weights ⋮ Dirichlet problem for elliptic equations with nonlinear first order terms: a comparison result ⋮ On the isoperimetric problem for radial log-convex densities ⋮ On the Cheeger problem for rotationally invariant domains ⋮ Isoperimetric sets for weighted twisted eigenvalues ⋮ Pólya-Szegö type inequality and imbedding theorems for weighted Sobolev spaces ⋮ Weighted isoperimetric inequalities in cones and applications ⋮ Quantitative a priori estimates for fast diffusion equations with Caffarelli-Kohn-Nirenberg weights. Harnack inequalities and Hölder continuity ⋮ Isoperimetric inequalities for a wedge-like membrane ⋮ Compact stable hypersurfaces with free boundary in convex solid cones with homogeneous densities ⋮ Sharp isoperimetric inequalities via the ABP method ⋮ A class of degenerate elliptic equations and a Dido's problem with respect to a measure ⋮ Euclidean balls solve some isoperimetric problems with nonradial weights ⋮ The isoperimetric problem for a class of non-radial weights and applications ⋮ A weighted isoperimetric inequality in an orthant ⋮ Some weighted isoperimetric problems on \({\mathbb{R}}^N_+\) with stable half balls have no solutions ⋮ On weighted isoperimetric inequalities with non-radial densities ⋮ Some isoperimetric inequalities with respect to monomial weights

Cites Work

• Unnamed Item
• Symmetrisierung für Funktionen mehrerer reeller Variablen
• Symmetrization in neumann problems
• Rearrangements of functions and convergence in orlicz spaces

This page was built for publication: Sharp estimates for solutions to a certain type of singular elliptic boundary value problems in two dimensions