Doubly coupled systems of elliptic hemivariational inequalities: existence and location

DOI10.1016/j.camwa.2018.08.036zbMath1442.35154OpenAlexW2889769722MaRDI QIDQ2204022

Zijia Peng, Motreanu, Dumitru

Publication date: 2 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2018.08.036

zbMATH Keywords

comparison principlepseudomonotone operatorhemivariational inequalitycoupled systemsubsolution-supersolution

Mathematics Subject Classification ID

PDEs with multivalued right-hand sides (35R70) Quasilinear elliptic equations (35J62) Comparison principles in context of PDEs (35B51) Unilateral problems for elliptic systems and systems of variational inequalities with elliptic operators (35J88)

Related Items (2)

Noncoercive hyperbolic variational-hemivariational inequalities with an application to contact problem ⋮ Inverse problems for nonlinear quasi-variational hemivariational inequalities with application to obstacle problems of elliptic type

Cites Work

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• Nonlinear inclusions and hemivariational inequalities. Models and analysis of contact problems
• Extremal solutions for nonvariational quasilinear elliptic systems via expanding trapping regions
• Sensitivity analysis for optimal control problems governed by nonlinear evolution inclusions
• Minimax theorems and qualitative properties of the solutions of hemivariational inequalities
• Variational and non-variational methods in nonlinear analysis and boundary value problems
• Nontrivial solutions for resonant hemivariational inequalities
• Optimization and nonsmooth analysis
• Inclusion problems via subsolution–supersolution method with applications to hemivariational inequalities
• Multiple solutions for elliptic systems via trapping regions and related nonsmooth potentials
• Positive solutions and multiple solutions at non-resonance, resonance and near resonance for hemivariational inequalities with 𝑝-Laplacian

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