Sharp estimates and saturation phenomena for a nonlocal eigenvalue problem

DOI10.1016/j.aim.2011.07.007zbMath1231.35128OpenAlexW2042723798MaRDI QIDQ643438

Pedro Freitas, Carlo Nitsch, Barbara Brandolini, Cristina Trombetti

Publication date: 28 October 2011

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2011.07.007

zbMATH Keywords

shape optimizationFaber-Krahn inequality

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Eigenvalue problems for linear operators (47A75)

Related Items (7)

A saturation phenomenon for a nonlinear nonlocal eigenvalue problem ⋮ Saturation phenomena for some classes of nonlinear nonlocal eigenvalue problems ⋮ Isoperimetric sets for weighted twisted eigenvalues ⋮ Spherical symmetrization and the first eigenvalue of geodesic disks on manifolds ⋮ The periodic principal eigenvalues with applications to the nonlocal dispersal logistic equation ⋮ Symmetry and asymmetry of minimizers of a class of noncoercive functionals ⋮ Symmetry breaking in a constrained Cheeger type isoperimetric inequality

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