Infinitely many sign-changing solutions for a Schr<it>&#246;</it>dinger equation

Abstract

Abstract We study a superlinear Schrödinger equation in the whole Euclidean space ℝn. By using a suitable sign-changing critical point, we prove that the problem admits infinitely many sign-changing solutions, under weaker conditions.

Keywords

• Schr<it>&#246;</it>dinger equation
• sign-changing critical point
• (w*-PS) condition