The multiplicity of nontrivial solutions for hemivariational inequalities involving nonlocal elliptic operators

DOI10.1016/j.nonrwa.2014.06.009zbMath1302.35185OpenAlexW2072594580MaRDI QIDQ457577

Lijing Xi, Yu Ying Zhou, Yi Sheng Huang

Publication date: 29 September 2014

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2014.06.009

zbMATH Keywords

Palais-Smale conditionmultiple solutionsnonlocal elliptic operatorslocal Lipschitz function

Mathematics Subject Classification ID

Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87)

Related Items

Existence of solutions for non-coercive variational-hemivariational inequalities involving the nonlocal fractional p-Laplacian ⋮ Existence and regularity of solutions for a class of fractional Laplacian problems ⋮ Characteristic of solutions for non‐local fractional p(x)‐Laplacian with multi‐valued nonlinear perturbations ⋮ Multiplicity of nontrivial solutions for boundary value problem for impulsive fractional differential inclusions via nonsmooth critical point theory ⋮ Existence of solutions for space-fractional parabolic hemivariational inequalities ⋮ Sign-changing solutions for the boundary value problem involving the fractional \(p\)-Laplacian ⋮ Existence of solutions for implicit obstacle problems of fractional Laplacian type involving set-valued operators ⋮ Infinitely many solutions for hemivariational inequalities involving the fractional Laplacian ⋮ Nonlocal elliptic variational-hemivariational inequalities

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