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Sign Changing Solution of a Semilinear Schrödinger Equation with Constraint

Jingkun Liu, Qi Fan
Published: 1 January 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.
Keywords: Semilinear Schrödinger Equation / Sign Changing Solution / Palais-Smale Condition / Pseudo-Gradient Vector Field

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