Multiplicity results for hemivariational inequalities driven by nonlocal elliptic operators

DOI10.1016/j.jmaa.2012.06.041zbMath1248.49010OpenAlexW2011425356MaRDI QIDQ451017

Kai-Min Teng

Publication date: 26 September 2012

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.2012.06.041

zbMATH Keywords

Palais-Smale conditionhemivariational inequalitiesnonlocal elliptic operatorslocally Lipschitz continuity

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Existence theories for optimal control problems involving partial differential equations (49J20) Variational methods for second-order elliptic equations (35J20)

Related Items (5)

Multiplicity of nontrivial solutions for boundary value problem for impulsive fractional differential inclusions via nonsmooth critical point theory ⋮ Existence and multiplicity of solutions for nonlocal systems involving fractional Laplacian with non-differentiable terms ⋮ The multiplicity of nontrivial solutions for hemivariational inequalities involving nonlocal elliptic operators ⋮ Two nontrivial solutions for an elliptic problem involving some nonlocal integro-differential operators ⋮ Existence of solutions for a Kirchhoff-type-nonlocal operators of elliptic type

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