p-Laplacian方程无穷多解的存在性  

Existence of Infinitely Many Solutions to p-Laplacian Equation

作　　者：沈尧天[1] 李周欣[1] 

机构地区：[1]华南理工大学数学科学学院,广东广州510640

出　　处：《华南理工大学学报（自然科学版）》2006年第7期120-123,共4页Journal of South China University of Technology(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10171032)

摘　　要：考虑了一类p-Laplacian方程的D irichlet问题的解.在比(AR)条件更弱的条件下,先证明方程相应的泛函满足(PS)c条件,再应用山路引理得到了该问题无穷多解的存在性.This paper considers the solutions to the Dirichlet problem in a class of p-Laplacian equation. In the condition weaker than the （AR） condition, the corresponding functional of the equation is first proved satisfying the （PS） c condition. Then, by applying the Mountain Pass Theorem, the existence of infinitely many solutions of the problem is confirmed.

关 键 词：P-LAPLACIAN方程 临界点 (PS)c条件 山路引理 

分 类 号：O175.25[理学—数学]