Evolutionary variational-hemivariational inequalities: Existence and comparison results

DOI10.1016/j.jmaa.2008.04.005zbMath1282.49006OpenAlexW1995070053MaRDI QIDQ931023

Vy Khoi Le, Siegfried Carl, Motreanu, Dumitru

Publication date: 24 June 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.04.005

zbMATH Keywords

comparisoncompactnessextremal solutionobstacle problemparabolic variational inequalitysub-supersolutionevolutionary variational-hemivariational inequality

Mathematics Subject Classification ID

Variational inequalities (49J40) Initial value problems for linear first-order PDEs (35F10)

Related Items (16)

Fully history-dependent evolution hemivariational inequalities with constraints ⋮ Variational analysis and optimal control of dynamic unilateral contact models with friction ⋮ Existence and extremal solutions of parabolic variational-hemivariational inequalities ⋮ Constrained evolutionary variational-hemivariational inequalities with application to fluid flow model ⋮ Well-posedness for a class of strongly mixed variational-hemivariational inequalities with perturbations ⋮ Evolutionary quasi-variational hemivariational inequalities: existence and parameter identification ⋮ Well-posedness for a class of variational-hemivariational inequalities with perturbations ⋮ Optimal control of multivalued quasi variational inequalities ⋮ Elastic contact problem with Coulomb friction and normal compliance in Orlicz spaces ⋮ Regularity and Rothe method error estimates for parabolic hemivariational inequality ⋮ A new class of history-dependent evolutionary variational-hemivariational inequalities with unilateral constraints ⋮ On parabolic variational inequalities with multivalued terms and convex functionals ⋮ A note on multivalued \(W_{\lambda _{0}}\) pseudomonotone map ⋮ Well-posedness by perturbations for variational-hemivariational inequalities ⋮ Variational inequalities with time-dependent constraints in \(L^p\) ⋮ Existence results for evolutionary inclusions and variational–hemivariational inequalities

Cites Work

• Extremal solutions of a class of dynamic boundary hemivariational inequalities
• On the convergence of solutions of multivalued parabolic equations and applications
• Sub-supersolution method for quasilinear parabolic variational inequalities
• Extremal solutions of quasilinear parabolic inclusions with generalized Clarke's gradient.
• Monotonicity methods for nonlinear evolution equations
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