一类Neumann边值问题非平凡解的存在性

Existence of Some Nontrivial Solutions for a Class of Neumann Boundary Value Problems

利用临界点理论中的对称山路引理和分析技巧,研究一类Neumann边值问题在超二次条件下非平凡解的存在性,获得了一些新的可解性条件,进一步统一和改进了相关文献的结果.

By analysis techniques and using the symmetric mountain pass theorem in critical point theory, we study the existence of nontrivial solutions for a class of Neumann boundary value problems. Some new solvability conditions are obtained, and the results improve and generalize some of the recent corresponding results.