Superlinear elliptic hemivariational inequalities

被引：0

作者：

Bai, Yunru ^{[1
]}

Gasinski, Leszek ^{[2
]}

Papageorgiou, Nikolaos S. ^{[3
]}

机构：

[1] Guangxi Univ Sci & Technol, Sch Sci, Liuzhou 545006, Peoples R China

[2] Pedag Univ Cracow, Dept Math, Podchorazych 2, PL-30084 Krakow, Poland

[3] Natl Tech Univ Athens, Dept Math, Zografou Campus, Athens 15780, Greece

来源：

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2023年 / 52卷 / 06期

关键词：

hemivariational inequality; Clarke subdifferential; nonsmooth critical point theory; critical groups; nodal solutions;

D O I：

10.15672/hujms.1173649

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：1631 / 1657

页数：27

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