The purpose of this paper is to study a semilinear Schr<span style="white-space:nowrap;">ödinger equation with constraint in H<sup>1</sup>(R<sup>N</sup>), and prove the...The purpose of this paper is to study a semilinear Schr<span style="white-space:nowrap;">ödinger equation with constraint in H<sup>1</sup>(R<sup>N</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;">ödinger equation with constraint in H<sup>1</sup>(R<sup>N</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.
