一类p-Laplace方程基态解的存在性  

Existence of Ground State Solutions for a Class of p-Laplace Equations

作　　者：刘文静 许丽萍[1] 

机构地区：[1]河南科技大学数学与统计学院,河南洛阳

出　　处：《应用数学进展》2023年第1期411-427,共17页Advances in Applied Mathematics

摘　　要：文章研究了如下形式的p-Laplace方程: 其中 , 常数V>0。当非线性项/在无穷远处满足超线性但不满足通常的Ambrosetti-Rabinowitz (简称AR)条件时,通过运用新的技巧,借助Pohozaev恒等式, 获得了上述方程基态解的存在性,所得结果推广了相关文献的研究成果。In this paper, we study the following p-Laplace type equation: where and V > 0 is constant. By introducing some new tricks and Pohozaev equality, when the nonlinear function / satisfies the superlinear condition at infinity, the existence of ground state solution of this equation is obtained without assuming Ambrosetti - Rabinowitz type condition. Our results generalize the research results of related literatures.

关 键 词：P-LAPLACE方程 POHOZAEV恒等式 变分法 基态解 

分 类 号：O17[理学—数学]