ON A CLASS OF p(x)-LAPLACIAN EQUATIONS WITHOUT ANY GROWTH AND AMBROSETTI-RABINOWITZ CONDITIONS

被引：0

作者：

Cao, Xiao-Feng ^{[1
]}

Ge, Bin ^{[1
]}

Zhang, Bei-Lei ^{[1
]}

机构：

[1] Harbin Engn Univ, Coll Math Sci, Harbin 150001, Peoples R China

来源：

ADVANCES IN DIFFERENTIAL EQUATIONS | 2021年 / 26卷 / 5-6期

基金：

中国国家自然科学基金;

关键词：

SUB-SUPERSOLUTION METHOD; VARIABLE EXPONENT; DIFFERENTIAL-EQUATIONS; ELLIPTIC-EQUATIONS; DIRICHLET PROBLEM; EXISTENCE; MULTIPLICITY; CONCAVE; SPACES;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to establish the existence of nontrivial solutions for p(x)-Laplacian equations without any growth and Ambrosetti-Rabinowitz conditions. Employing the cutoff function approach, we show that auxiliary problem has at least one nontrivial solution. Furthermore, we obtain nontrivial solutions for original problems using De Giorgi iteration. The results presented here extend some recent contributions obtained for problems driven by the p(x)-Laplacian or even to more general differential operators.

引用

页码：259 / 280

页数：22

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