Symmetry breaking in a constrained Cheeger type isoperimetric inequality

DOI10.1051/cocv/2014016zbMath1319.49066arXiv1305.6271OpenAlexW2962934398MaRDI QIDQ5250289

Carlo Nitsch, Francesco Della Pietra, Barbara Brandolini, Cristina Trombetti

Publication date: 19 May 2015

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.6271

zbMATH Keywords

optimal shapesymmetry breakingCheeger inequality

Mathematics Subject Classification ID

Optimization of shapes other than minimal surfaces (49Q10)

Related Items (6)

A saturation phenomenon for a nonlinear nonlocal eigenvalue problem ⋮ Saturation phenomena for some classes of nonlinear nonlocal eigenvalue problems ⋮ Isoperimetric sets for weighted twisted eigenvalues ⋮ Symmetry-breaking in a generalized Wirtinger inequality ⋮ Symmetry and asymmetry of minimizers of a class of noncoercive functionals ⋮ Some isoperimetric inequalities with respect to monomial weights

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• The longest shortest fence and sharp Poincaré-Sobolev inequalities
• On the first twisted Dirichlet eigenvalue
• On a generalized Wirtinger inequality
• An isoperimetric inequality for a nonlinear eigenvalue problem
• A sharp trace inequality for functions of bounded variation in the ball
• Relative isoperimetric inequality in the plane: the anisotropic case

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