On a conjectured reverse Faber-Krahn inequality for a Steklov-type Laplacian eigenvalue
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Publication:2347688
DOI10.3934/cpaa.2015.14.63zbMath1338.46046arXiv1307.3788OpenAlexW2963403780MaRDI QIDQ2347688
Cristina Trombetti, Carlo Nitsch, Vincenzo Ferone
Publication date: 5 June 2015
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1307.3788
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Estimates of eigenvalues in context of PDEs (35P15) Length, area, volume, other geometric measure theory (28A75)
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On the maximal mean curvature of a smooth surface ⋮ A stability result for the Steklov Laplacian eigenvalue problem with a spherical obstacle ⋮ The Faber-Krahn inequality for the Hermite operator with Robin boundary conditions ⋮ Bounds and extremal domains for Robin eigenvalues with negative boundary parameter ⋮ Two estimates for the first Robin eigenvalue of the Finsler Laplacian with negative boundary parameter ⋮ On the behavior of the first eigenvalue of the \(p\)-Laplacian with Robin boundary conditions as \(p\) goes to 1 ⋮ Weighted symmetrization results for a problem with variable Robin parameter ⋮ Domain perturbations for elliptic problems with Robin boundary conditions of opposite sign ⋮ Sharp estimates for the first Robin eigenvalue of nonlinear elliptic operators ⋮ Some weighted isoperimetric inequalities in quantitative form ⋮ Faber-Krahn inequality for anisotropic eigenvalue problems with Robin boundary conditions ⋮ From Steklov to Neumann and Beyond, via Robin: The Szegő Way ⋮ On the \(p\)-Laplacian with Robin boundary conditions and boundary trace theorems ⋮ Effective operators for Robin eigenvalues in domains with corners ⋮ A sharp estimate for the first Robin-Laplacian eigenvalue with negative boundary parameter ⋮ Optimal eigenvalue estimates for the Robin Laplacian on Riemannian manifolds ⋮ Optimisation of the lowest Robin eigenvalue in the exterior of a compact set ⋮ Mean curvature bounds and eigenvalues of Robin Laplacians ⋮ The Robin Laplacian—Spectral conjectures, rectangular theorems ⋮ A sharp isoperimetric inequality for the second eigenvalue of the Robin plate ⋮ Spectral isoperimetric inequalities for Robin Laplacians on 2-manifolds and unbounded cones ⋮ A quantitative reverse Faber-Krahn inequality for the first Robin eigenvalue with negative boundary parameter ⋮ The first Robin eigenvalue with negative boundary parameter
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