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Sign Changing Solution of a Semilinear Schrödinger Equation with Constraint

Sign Changing Solution of a Semilinear Schrödinger Equation with Constraint
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摘要 The purpose of this paper is to study a semilinear Schr<span style="white-space:nowrap;">&#246;</span>dinger equation with constraint in <em>H</em><sup>1</sup>(<strong>R</strong><sup><em>N</em></sup>), 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. The purpose of this paper is to study a semilinear Schr<span style="white-space:nowrap;">&#246;</span>dinger equation with constraint in <em>H</em><sup>1</sup>(<strong>R</strong><sup><em>N</em></sup>), 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.
作者 Jingkun Liu Qi Fan Jingkun Liu;Qi Fan(Chengyi University College, Jimei University, Xiamen, China;Xiamen Sinic-Tek Intelligent Technology Co., Ltd., Xiamen, China)
出处 《Applied Mathematics》 2021年第6期489-499,共11页 应用数学(英文)
关键词 Semilinear Schrödinger Equation Sign Changing Solution Palais-Smale Condition Pseudo-Gradient Vector Field Semilinear Schrödinger Equation Sign Changing Solution Palais-Smale Condition Pseudo-Gradient Vector Field
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