Elliptic Variational Inequalities with Discontinuous Multi-Valued Lower Order Terms

DOI10.1515/ans-2013-0104zbMath1271.49006OpenAlexW2516387155MaRDI QIDQ4920721

Siegfried Carl

Publication date: 22 May 2013

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2013-0104

zbMATH Keywords

variational inequalitycomparison principleextremal solutionsub-supersolutionlattice conditiondiscontinuous multi-valued function

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Set-valued and variational analysis (49J53) PDEs with multivalued right-hand sides (35R70) Set-valued operators (47H04) Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87)

Related Items (8)

On variational and quasi-variational inequalities with multivalued lower order terms and convex functionals ⋮ Barrier solutions of elliptic variational inequalities ⋮ A new kind of double phase elliptic inclusions with logarithmic perturbation terms. II: Applications ⋮ On variational inequalities with multivalued perturbing terms depending on gradients ⋮ An order theoretic fixed point theorem with application to multivalued variational inequalities with nonsmooth bifunctions ⋮ On the boundedness of solutions to elliptic variational inequalities ⋮ Signorini type variational inequality with state-dependent discontinuous multi-valued boundary operators ⋮ Elliptic inequalities with multi-valued operators: existence, comparison and related variational-hemivariational type inequalities

Cites Work

• Equivalence of Some Multi-Valued Elliptic Variational Inequalities and Variational-Hemivariational Inequalities

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