A class of degenerate elliptic equations and a Dido's problem with respect to a measure

DOI10.1016/j.jmaa.2008.07.010zbMath1156.35048OpenAlexW2029787490MaRDI QIDQ947571

Friedemann Brock, Anna Mercaldo, Francesco Chiacchio

Publication date: 6 October 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.07.010

zbMATH Keywords

degenerate elliptic equationsrelative isoperimetric inequalityweighted perimeter

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Degenerate elliptic equations (35J70)

Related Items (13)

An isoperimetric inequality for Gauss-like product measures ⋮ Some isoperimetric problems in planes with density ⋮ A sharp upper bound for the first Dirichlet eigenvalue of a class of wedge-like domains ⋮ Some applications of the chambers isoperimetric inequality ⋮ Weighted isoperimetric inequalities in cones and applications ⋮ On isoperimetric inequalities with respect to infinite measures ⋮ Isoperimetric inequalities for a wedge-like membrane ⋮ On the case of equalities in comparison results for parabolic equations related to Gauss measure ⋮ Stable and isoperimetric regions in some weighted manifolds with boundary ⋮ Isoperimetric and stable sets for log-concave perturbations of Gaussian measures ⋮ Some isoperimetric inequalities on \(\mathbb{R}^N\) with respect to weights \(|x|^{\alpha}\) ⋮ The isoperimetric problem for a class of non-radial weights and applications ⋮ A weighted isoperimetric inequality in an orthant

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