Multiple solutions for a class of semilinear elliptic problems with Robin boundary condition |
| |
| Authors: | Jing Zhang Shujie Li Xiaoping Xue |
| |
| Institution: | 1. Department of Mathematics, Harbin Institute of Technology, Harbin, Heilongjiang, 150001, PR China;2. Y.Y. Tseng Functional Analysis Research Center, Harbin Normal University, Harbin, Heilongjiang, 150025, PR China;3. Academy of Mathematics and System Sciences, Academia Sinica, Beijing, 100000, PR China |
| |
| Abstract: | In this paper, we show the existence of at least four nontrivial solutions for a class of semilinear elliptic problems with Robin boundary condition and jumping nonlinearities. Solvability of oscillating equations with Robin boundary condition is also investigated. We prove the conclusions by using sub-super-solution method, Fu?ík spectrum theory, mountain pass theorem in order intervals and Morse theory. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
