The sub- and supersolution method for variational-hemivariational inequalities

DOI10.1016/j.na.2008.02.046zbMath1144.35391OpenAlexW2065244701MaRDI QIDQ943704

Siegfried Carl

Publication date: 10 September 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.02.046

zbMATH Keywords

comparisonexistencevariational-hemivariational inequalityClarke's gradientmultivalued pseudomonotone operatorsub- and supersolution

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) PDEs with multivalued right-hand sides (35R70) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items

On variational and quasi-variational inequalities with multivalued lower order terms and convex functionals, Convergence analysis on Browder-Tikhonov regularization for second-order evolution hemivariational inequality, On a sub-supersolution method for variational inequalities with Leray-Lions operators in variable exponent spaces, Elastic contact problem with Coulomb friction and normal compliance in Orlicz spaces, Equivalence of Some Multi-Valued Elliptic Variational Inequalities and Variational-Hemivariational Inequalities, Sub-supersolution method in variational inequalities with multivalued operators given by integrals, Existence of Solutions for Some Quasilinear Degenerate Elliptic Inclusions in Weighted Sobolev Spaces, General comparison principle for variational-hemivariational inequalities, Optimal control for elliptic hemivariational inequalities involving nonlinear weakly continuous operators

Cites Work

• Constant-sign and sign-changing solutions of a nonlinear eigenvalue problem involving the \(p\)-Laplacian.
• Generalized quasilinearization method for reaction-diffusion equations under nonlinear and nonlocal flux conditions
• Constant-sign and sign-changing solutions for nonlinear eigenvalue problems
• Existence and comparison results for noncoercive and nonmonotone multivalued elliptic problems
• Quasilinear elliptic inclusions of Clarke's gradient type under local growth conditions
• Nonlinear elliptic boundary-value problems in unbounded domains
• Generalized quasilinearization for quasilinear parabolic equations with nonlinearities of DC type
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