On the first twisted Dirichlet eigenvalue

DOI10.4310/CAG.2004.v12.n5.a5zbMath1110.58003MaRDI QIDQ1769132

Antoine Henrot, Pedro Freitas

Publication date: 18 March 2005

Published in: Communications in Analysis and Geometry (Search for Journal in Brave)

zbMATH Keywords

isoperimetric inequalityconstant mean curvaturetwisted Dirichlet eigenvalue

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Spectral theory; eigenvalue problems on manifolds (58C40)

Related Items (11)

On upper semicontinuity of the Allen–Cahn twisted eigenvalues ⋮ A saturation phenomenon for a nonlinear nonlocal eigenvalue problem ⋮ Saturation phenomena for some classes of nonlinear nonlocal eigenvalue problems ⋮ Stability of submanifolds with parallel mean curvature in calibrated manifolds ⋮ Isoperimetric sets for weighted twisted eigenvalues ⋮ An isoperimetric inequality for a nonlinear eigenvalue problem ⋮ Sharp estimates and saturation phenomena for a nonlocal eigenvalue problem ⋮ Spherical symmetrization and the first eigenvalue of geodesic disks on manifolds ⋮ Blaschke–Santaló and Mahler inequalities for the first eigenvalue of the Dirichlet Laplacian ⋮ Symmetry breaking in a constrained Cheeger type isoperimetric inequality ⋮ SHARP CONSTANTS IN THE POINCARÉ, STEKLOV AND RELATED INEQUALITIES (A SURVEY)

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