On $ T$-solutions of degenerate anisotropic elliptic variational inequalities with $ L^1$-data

DOI10.1070/IM2011v075n01ABEH002529zbMath1223.35180MaRDI QIDQ5392593

Yuliya S. Gorban, Alexander A. Kovalevsky

Publication date: 13 April 2011

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

zbMATH Keywords

existence and uniqueness of solutionsdegenerate anisotropic elliptic variational inequalities\( L^1\)-data\( T\)-solutionshift \( T\)-solution

Mathematics Subject Classification ID

Variational inequalities (49J40) Degenerate elliptic equations (35J70) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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Existence of entropy solutions for nonlinear elliptic degenerate anisotropic equations ⋮ Toward the \(L^1\)-theory of degenerate anisotropic elliptic variational inequalities ⋮ Unnamed Item ⋮ On the boundedness of solutions of degenerate anisotropic elliptic variational inequalities ⋮ Integrability and boundedness of solutions to some anisotropic problems ⋮ Unnamed Item

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