Isoperimetric estimates for the first eigenfunction of a class of linear elliptic problems

DOI10.1007/s00033-005-0044-3zbMath1161.35007OpenAlexW2005908157MaRDI QIDQ867671

Adele Ferone, Francesco Chiacchio, Maria Francesca Betta

Publication date: 16 February 2007

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-005-0044-3

zbMATH Keywords

eigenfunctionsisoperimetric inequalitieslinear elliptic equationsGaussian rearrangement

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Degenerate elliptic equations (35J70) A priori estimates in context of PDEs (35B45)

Related Items (12)

On the Symmetry of Solutions to a k-Hessian Type Equation ⋮ The clamped plate in Gauss space ⋮ The fractional nonlocal Ornstein-Uhlenbeck equation, Gaussian symmetrization and regularity ⋮ The Faber-Krahn inequality for the Hermite operator with Robin boundary conditions ⋮ Isoperimetric inequalities for the first Neumann eigenvalue in Gauss space ⋮ Some applications of the chambers isoperimetric inequality ⋮ Parabolic equations related to Boltzmann measure ⋮ Isoperimetric inequalities for a wedge-like membrane ⋮ On the case of equalities in comparison results for parabolic equations related to Gauss measure ⋮ A second eigenvalue bound for the Dirichlet Schrödinger operator ⋮ A weighted isoperimetric inequality in an orthant ⋮ Some results on the eigenvalue problem for a fractional elliptic equation

This page was built for publication: Isoperimetric estimates for the first eigenfunction of a class of linear elliptic problems