ON THE ISOPERIMETRIC PROBLEM FOR THE LAPLACIAN WITH ROBIN AND WENTZELL BOUNDARY CONDITIONS
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Publication:4931128
DOI10.1017/S0004972710000456zbMath1198.35162MaRDI QIDQ4931128
Publication date: 4 October 2010
Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)
Variational inequalities (49J40) Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Estimates of eigenvalues in context of PDEs (35P15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Variational methods for second-order elliptic equations (35J20)
Related Items (9)
Generalization of Philippin's results for the first Robin eigenvalue and estimates for eigenvalues of the bi-drifting Laplacian ⋮ Two estimates for the first Robin eigenvalue of the Finsler Laplacian with negative boundary parameter ⋮ Parabolic equations with dynamic boundary conditions and drift terms ⋮ Reverse Faber-Krahn inequality for the \(p\)-Laplacian in hyperbolic space ⋮ The role of surface diffusion in dynamic boundary conditions: where do we stand? ⋮ The quantitative Faber-Krahn inequality for the Robin Laplacian ⋮ On the first Robin eigenvalue of a class of anisotropic operators ⋮ Heat kernel bounds for elliptic partial differential operators in divergence form with Robin-type boundary conditions ⋮ Null controllability for a heat equation with dynamic boundary conditions and drift terms
Cites Work
- A Faber-Krahn inequality for the Laplacian with generalised Wentzell boundary conditions
- The Laplacian on \(C(\overline\Omega)\) with generalized Wentzell boundary conditions
- A singularly perturbed linear eigenvalue problem in \(C^1\) domains.
- A Faber-Krahn inequality for Robin problems in any space dimension
- Uniqueness in the Faber–Krahn Inequality for Robin Problems
- An isoperimetric inequality for the second eigenvalue of the Laplacian with Robin boundary conditions
- Isoperimetric Inequalities and Their Applications
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