TITLE:
Sign Changing Solution of a Semilinear Schrödinger Equation with Constraint
AUTHORS:
Jingkun Liu, Qi Fan
KEYWORDS:
Semilinear Schrödinger Equation, Sign Changing Solution, Palais-Smale Condition, Pseudo-Gradient Vector Field
JOURNAL NAME:
Applied Mathematics,
Vol.12 No.6,
June
28,
2021
ABSTRACT: The purpose of this paper is to study a semilinear Schrödinger equation with constraint in H1(RN), 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.