Best constant in Poincaré inequalities with traces: a free discontinuity approach

DOI10.1016/j.anihpc.2019.07.007zbMath1428.49043OpenAlexW2971247259MaRDI QIDQ2334995

Paola Trebeschi, Dorin Bucur, Alessandro Giacomini

Publication date: 13 November 2019

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.anihpc.2019.07.007

zbMATH Keywords

sets of finite perimeterRobin boundary conditionsfunctions of bounded variationfree discontinuity problems

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Nonlinear boundary value problems for linear elliptic equations (35J65) Optimization of shapes other than minimal surfaces (49Q10) Free boundary problems for PDEs (35R35) Functions of bounded variation, generalizations (26A45) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Related Items (6)

Comparison results for solutions to \(p\)-Laplace equations with Robin boundary conditions ⋮ Regular solutions of chemotaxis-consumption systems involving tensor-valued sensitivities and Robin type boundary conditions ⋮ Boundary value problems on non-Lipschitz uniform domains: stability, compactness and the existence of optimal shapes ⋮ Estimates for Robin \(p\)-Laplacian eigenvalues of convex sets with prescribed perimeter ⋮ Comparison results for solutions to the anisotropic Laplacian with Robin boundary conditions ⋮ Degenerate free discontinuity problems and spectral inequalities in quantitative form

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