The Robin-Laplacian problem on varying domains

DOI10.1007/s00526-016-1073-9zbMath1379.35062OpenAlexW2545895329MaRDI QIDQ514249

Paola Trebeschi, Dorin Bucur, Alessandro Giacomini

Publication date: 1 March 2017

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-016-1073-9

zbMATH Keywords

LaplacianDirichlet-Robin boundary condition

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items

Shape optimization problems for functionals with a boundary integral ⋮ Stability Results for the Robin-Laplacian on Nonsmooth Domains ⋮ Boundary value problems on non-Lipschitz uniform domains: stability, compactness and the existence of optimal shapes ⋮ The Robin mean value equation. II: Asymptotic Hölder regularity ⋮ The Robin mean value equation. I: A random walk approach to the third boundary value problem ⋮ Modeling and optimization of hourglass-shaped aquaporins

Cites Work

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• Shape optimization problems with Robin conditions on the free boundary
• Faber-Krahn inequalities for the Robin-Laplacian: a free discontinuity approach
• A variational approach to the isoperimetric inequality for the Robin eigenvalue problem
• Wiener criteria and energy decay for relaxed Dirichlet problems
• Wiener's criterion and \(\Gamma\)-convergence
• An introduction to \(\Gamma\)-convergence
• Domain perturbation for elliptic equations subject to Robin boundary conditions
• Integral representation for a class of \(C^ 1\)-convex functionals
• Variational methods in shape optimization problems
• A Faber-Krahn inequality for Robin problems in any space dimension

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