The purpose of this paper is to study a semilinear Schr<span style="white-space:nowrap;">ö</span>dinger equation with constraint in <em>H</em><sup>1</sup>(<str...The purpose of this paper is to study a semilinear Schr<span style="white-space:nowrap;">ö</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.展开更多
文摘The purpose of this paper is to study a semilinear Schr<span style="white-space:nowrap;">ö</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.