Extremal functions in Poincare-Sobolev inequalities for functions of bounded variation
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Publication:3172470
zbMath1236.46025arXiv1001.4651MaRDI QIDQ3172470
Jean Van Schaftingen, Vincent Bouchez
Publication date: 5 October 2011
Full work available at URL: https://arxiv.org/abs/1001.4651
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities for sums, series and integrals (26D15) Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Quasilinear elliptic equations (35J62)
Related Items (5)
Minimization to the Zhang's energy on \(BV (\Omega)\) and sharp affine Poincaré-Sobolev inequalities ⋮ Some critical minimization problems for functions of bounded variations ⋮ Poincaré trace inequalities in \(BV({\mathbb {B}}^n)\) with non-standard normalization ⋮ Balls minimize trace constants in BV ⋮ Asymmetric Poincaré inequalities and solvability of capillarity problems
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