On the \(p\)-Laplacian with Robin boundary conditions and boundary trace theorems
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Publication:526954
DOI10.1007/s00526-017-1138-4zbMath1375.49063arXiv1603.01737OpenAlexW3101813935MaRDI QIDQ526954
Hynek Kovařík, Konstantin Pankrashkin
Publication date: 15 May 2017
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1603.01737
asymptoticsisoperimetric inequalitiesnonlinear eigenvalue problemRobin boundary conditions\(p\)-Laplacianextension operatorsboundary trace theorems
Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Spectral theory; eigenvalue problems on manifolds (58C40) Variational methods for eigenvalues of operators (49R05)
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Cites Work
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- An effective Hamiltonian for the eigenvalue asymptotics of the Robin Laplacian with a large parameter
- On the maximal mean curvature of a smooth surface
- An inequality for the maximum curvature through a geometric flow
- On the negative spectrum of the Robin Laplacian in corner domains
- Faber-Krahn inequality for Robin problems involving \(p\)-Laplacian
- On the asymptotic behaviour of the eigenvalues of a Robin problem.
- Mean curvature bounds and eigenvalues of Robin Laplacians
- Curvature measures and generalized Morse theory
- An alternative approach to the Faber-Krahn inequality for Robin problems
- Hardy inequalities for \(p\)-Laplacians with Robin boundary conditions
- Isolation and simplicity for the first eigenvalue of the \(p\)-Laplacian with a nonlinear boundary condition
- Asymptotic behavior of the best Sobolev trace constant in expanding and contracting domains.
- A singularly perturbed linear eigenvalue problem in \(C^1\) domains.
- The first Robin eigenvalue with negative boundary parameter
- On a conjectured reverse Faber-Krahn inequality for a Steklov-type Laplacian eigenvalue
- Weak perturbations of the \(p\)-Laplacian
- Eigenvalue estimates and critical temperature in zero fields for enhanced surface super\-conductivity
- ASYMPTOTIC BEHAVIOR OF BEST CONSTANTS AND EXTREMALS FOR TRACE EMBEDDINGS IN EXPANDING DOMAINS1*
- Curvature-induced bound states in Robin waveguides and their asymptotical properties
- Eigenvalues for the Robin Laplacian in domains with variable curvature
- Tunneling for the Robin Laplacian in smooth planar domains
- C1 + α local regularity of weak solutions of degenerate elliptic equations
- Radial Symmetry of the First Eigenfunction for the p-Laplacian in the Ball
- On an Isoperimetric Inequality for the First Eigenvalue of a Boundary Value Problem
- Lower bounds on the norms of extension operators for Lipschitz domains
- On the principal eigenvalue of a Robin problem with a large parameter
- On the asymptotics of the principal eigenvalue for a Robin problem with a large parameter in planar domains
- Long-time vanishing properties of solutions of some semilinear parabolic equations