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On solitary wave solutions to the nonlinear Schrödinger equations with two parameters |
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| Authors: | Fanglei Wang Yukun An |
| Institution: | 1. College of Science, Hohai University, , Nanjing, 210098 P. R. China;2. Department of Mathematics, Nanjing University of Aeronautics and Astronautics, , Nanjing, 210016 P. R. China |
| Abstract: | In this paper, we discuss the existence and multiplicity of positive solitary wave solutions for nonlinear Schrödinger equations with two parameters. The proof is based on the method of upper and lower solutions and the fixed point index. |
| Keywords: | Nonlinear Schrö dinger equations positive solutions upper and lower solutions fixed point index 34B15 35J20 |