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Nodal type bound states of Schrödinger equations via invariant set and minimax methods |
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| Authors: | Zhaoli Liu Zhi-Qiang Wang |
| Affiliation: | a Department of Mathematics, Capital Normal University, Beijing 100037, PR China b Department of Mathematics and Statistics, Utah State University, Logan, Utah 84322, USA |
| Abstract: | For nonlinear Schrödinger equations in the entire space we present new results on invariant sets of the gradient flows of the corresponding variational functionals. The structure of the invariant sets will be built into minimax procedures to construct nodal type bound state solutions of nonlinear Schrödinger type equations. |
| Keywords: | Invariant sets Bound state nodal solutions Nonlinear Schrö dinger equations Minimax method |
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