Some critical minimization problems for functions of bounded variations

DOI10.1016/j.jfa.2010.07.009zbMath1201.49006OpenAlexW2038081374MaRDI QIDQ600972

Michel Willem, Thomas J. Bartsch

Publication date: 3 November 2010

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2010.07.009

zbMATH Keywords

critical exponentsisoperimetric inequalitiesfunctions of bounded variationGagliardo-Nirenberg inequality

Mathematics Subject Classification ID

Existence theories for problems in abstract spaces (49J27) Absolutely continuous real functions of several variables, functions of bounded variation (26B30)

Related Items (5)

Defect of compactness in spaces of bounded variation ⋮ A RELATIVE ISOPERIMETRIC INEQUALITY ⋮ Minimization to the Zhang's energy on \(BV (\Omega)\) and sharp affine Poincaré-Sobolev inequalities ⋮ Asymmetric Poincaré inequalities and solvability of capillarity problems ⋮ On the influence of second order uniformly elliptic operators in nonlinear problems

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