摘要
The main aim of the paper is to prove a fountain theorem without assuming the tau-upper semicontinuity condition on the variational functional. Using this improved fountain theorem, we may deal with more general strongly indefinite elliptic problems with various sign-changing nonlinear terms. As an application, we obtain infinitely many solutions for a semilinear Schrodinger equation with strongly indefinite structure and sign-changing nonlinearity.
- 出版日期2017-11
- 单位武汉理工大学; 中国科学院武汉物理与数学研究所