Multi-Valued Variational Inequalities and Inclusions

DOI10.1007/978-3-030-65165-7zbMath1462.49001OpenAlexW3135298491MaRDI QIDQ4963495

Vy Khoi Le, Siegfried Carl

Publication date: 18 February 2021

Published in: Springer Monographs in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-65165-7

zbMATH Keywords

comparisonvariational inequalitiesexistenceconstraintvariational inclusionsLeray-Lions operatorsub-supersolution methodmulti-valuedenclosure principle

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Monotone operators and generalizations (47H05) Set-valued and variational analysis (49J53) PDEs with multivalued right-hand sides (35R70) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Set-valued operators (47H04) PDEs with low regular coefficients and/or low regular data (35R05) Existence theories for optimal control problems involving partial differential equations (49J20) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Variational methods for second-order elliptic equations (35J20) Nonlinear evolution equations (47J35) PDEs in connection with mechanics of deformable solids (35Q74) Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87) Research exposition (monographs, survey articles) pertaining to calculus of variations and optimal control (49-02) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) Quasilinear parabolic equations with (p)-Laplacian (35K92) Nonlinear boundary value problems for nonlinear elliptic equations (35J66) Comparison principles in context of PDEs (35B51) Variational and other types of inclusions (47J22) Unilateral problems for nonlinear parabolic equations and variational inequalities with nonlinear parabolic operators (35K86) Unilateral problems for parabolic systems and systems of variational inequalities with parabolic operators (35K87) Unilateral problems for elliptic systems and systems of variational inequalities with elliptic operators (35J88) Set functions, measures and integrals with values in abstract spaces (28Bxx)

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