Faber-Krahn inequalities for the Robin-Laplacian: a free discontinuity approach
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Publication:493127
DOI10.1007/s00205-015-0872-zzbMath1458.35286OpenAlexW562484954MaRDI QIDQ493127
Dorin Bucur, Alessandro Giacomini
Publication date: 11 September 2015
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00205-015-0872-z
Optimality conditions for problems involving partial differential equations (49K20) Boundary value problems for second-order elliptic equations (35J25) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Estimates of eigenvalues in context of PDEs (35P15) Variational methods for second-order elliptic equations (35J20) Variational methods for eigenvalues of operators (49R05)
Related Items (32)
PDE comparison principles for Robin problems ⋮ Comparison results for solutions to \(p\)-Laplace equations with Robin boundary conditions ⋮ Some properties of the torsion function with Robin boundary conditions ⋮ Shape optimization problems with Robin conditions on the free boundary ⋮ Shape optimization of a thermal insulation problem ⋮ Existence and regularity of optimal shapes for spectral functionals with Robin boundary conditions ⋮ Shape optimization problems for functionals with a boundary integral ⋮ Stability Results for the Robin-Laplacian on Nonsmooth Domains ⋮ A Talenti Comparison Result for Solutions to Elliptic Problems with Robin Boundary Conditions ⋮ Minimization of the \(k\)-th eigenvalue of the Robin-Laplacian ⋮ Boundary value problems on non-Lipschitz uniform domains: stability, compactness and the existence of optimal shapes ⋮ On the second Robin eigenvalue of the Laplacian ⋮ Weighted symmetrization results for a problem with variable Robin parameter ⋮ Reverse isoperimetric inequality for the lowest Robin eigenvalue of a triangle ⋮ Estimates for Robin \(p\)-Laplacian eigenvalues of convex sets with prescribed perimeter ⋮ The Saint-Venant inequality for the Laplace operator with Robin boundary conditions ⋮ Domain perturbations for elliptic problems with Robin boundary conditions of opposite sign ⋮ A free boundary approach to the Faber-Krahn inequality ⋮ On the honeycomb conjecture for Robin Laplacian eigenvalues ⋮ From Steklov to Neumann and Beyond, via Robin: The Szegő Way ⋮ Comparison results for solutions to the anisotropic Laplacian with Robin boundary conditions ⋮ The Robin-Laplacian problem on varying domains ⋮ The quantitative Faber-Krahn inequality for the Robin Laplacian ⋮ Inequalities for the lowest magnetic Neumann eigenvalue ⋮ Optimal partitions for Robin Laplacian eigenvalues ⋮ Sharp estimates for solutions to elliptic problems with mixed boundary conditions ⋮ Degenerate free discontinuity problems and spectral inequalities in quantitative form ⋮ Mean curvature bounds and eigenvalues of Robin Laplacians ⋮ The Robin Laplacian—Spectral conjectures, rectangular theorems ⋮ Best constant in Poincaré inequalities with traces: a free discontinuity approach ⋮ Courant-sharp Robin eigenvalues for the square and other planar domains ⋮ Stability analysis on two thermal insulation problems
Cites Work
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- Shape optimization problems with Robin conditions on the free boundary
- Faber-Krahn inequality for anisotropic eigenvalue problems with Robin boundary conditions
- Brunn-Minkowski inequalities for variational functionals and related problems
- Faber-Krahn inequality for Robin problems involving \(p\)-Laplacian
- A variational approach to the isoperimetric inequality for the Robin eigenvalue problem
- An alternative approach to the Faber-Krahn inequality for Robin problems
- Existence theory for a new class of variational problems
- On the symmetry of minimizers
- Existence theorem for a minimum problem with free discontinuity set
- Functions of bounded variation and rearrangements
- A remark on the analyticity of the solutions for nonlinear elliptic partial differential equations
- Monotonicity formula and regularity for general free discontinuity problems
- A Faber-Krahn inequality for Robin problems in any space dimension
- Optimal approximations by piecewise smooth functions and associated variational problems
- Uniqueness in the Faber–Krahn Inequality for Robin Problems
- Robin boundary value problems on arbitrary domains
- Isoperimetric Inequalities in Mathematical Physics. (AM-27)
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