- Hacettepe Journal of Mathematics and Statistics
- Cilt: 52 Sayı: 6 - Special Issue: Nonlinear Evolution Problems with Applications
- Superlinear elliptic hemivariational inequalities
Superlinear elliptic hemivariational inequalities
Authors : Yunru Bai, Leszek Gasinski, Nikolaos Papageorgiou
Pages : 1631-1657
Doi:10.15672/hujms.1173649
View : 89 | Download : 275
Publication Date : 2023-11-03
Article Type : Research
Abstract :We study a nonlinear nonhomogeneous Dirichlet problem with a nonsmooth potential which is superlinear but without satisfying the Ambrosetti-Rabinowitz condition. Using the nonsmooth critical point theory and critical groups we prove two multiplicity theorems producing three and five solutions respectively. In the second multiplicity theorem, we provide sign information for all the solutions and the solutions are ordered.Keywords : Hemivariational inequality, Clarke subdifferential, nonsmooth critical point theory, critical groups, nodal solutions