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Nontrivial solutions of Schrödinger equations with indefinite nonlinearities |
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| Authors: | Fang Liu Jianfu Yang |
| Institution: | a Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, PO Box 71010, Wuhan 430071, PR China b Institute of Applied Mathematics, Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing 100080, PR China c Department of Mathematics, Jiangxi Normal University, Nanchang, Jiangxi 330022, PR China d Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, PO Box 71010, Wuhan 430071, PR China |
| Abstract: | We prove the existence of nontrivial solutions for the Schrödinger equation −Δu+V(x)u=aγ(x)f(u) in RN, where f is superlinear and subcritical at zero and infinity respectively, V is periodic and a(x) changes sign. |
| Keywords: | Schrö dinger equation Relative Morse index Minimax method |
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