A lower bound for the first eigenvalue of an elliptic operator

DOI10.1016/0022-247X(83)90066-5zbMath0525.35063MaRDI QIDQ594286

Angelo Alvino, Guido Trombetti

Publication date: 1983

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

zbMATH Keywords

isoperimetric inequalitiesrearrangementspherical symmetrylower bound for the first eigenvalue

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15)

Related Items

An extremal eigenvalue problem for a two-phase conductor in a ball, Some remarks on embedding of weighted Sobolev spaces, Existence of renormalized solutions for strongly nonlinear parabolic problems with measure data, Existence and regularity of positive solutions of a degenerate fourth order elliptic problem, Some comparison results and a partial bang-bang property for two-phases problems in balls, Embeddings of weighted Sobolev spaces and degenerate elliptic problems, Comparison results and improved quantified inequalities for semilinear elliptic equations, On optimization problems with prescribed rearrangements, Shape optimization of a weighted two-phase Dirichlet eigenvalue, Elliptic equations, rearrangements, and functions of bounded lower oscillation, Symmetrization of functions and principal eigenvalues of elliptic operators

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