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Sign Changing Solution of a Semilinear Schrödinger Equation with Constraint
Chengyi University College, Jimei University, Xiamen, China
Xiamen Sinic-Tek Intelligent Technology Co., Ltd., Xiamen, China
- 1 Chengyi University College, Jimei University, Xiamen, China
- 2 Xiamen Sinic-Tek Intelligent Technology Co., Ltd., Xiamen, China
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Abstract
The purpose of this paper is to study a semilinear Schr ö dinger equation with constraint in H 1 ( R N ), and prove the existence of sign changing solution. Under suitable conditions, we obtain a negative solution, a positive solution and a sign changing solution by using variational methods.
KeywordsSemilinear Schr&#246dinger EquationSign Changing SolutionPalais-Smale ConditionPseudo-Gradient Vector Field
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