Nonradial solutions for semilinear Schrodinger equations with sign-changing potential

作者：Lv, Dingyang; Yang, Xuxin^*

来源：Electronic Journal of Qualitative Theory of Differential Equations, 2015, (16): 1-12.

• Schrodinger equations
• variational methods
• critical point
• Sign-changing potential
• nonradial solution

In this paper, we investigate the existence of infinite nonradial solutions for the Schrodinger equations
{-Delta u + b(vertical bar x vertical bar)u - f(vertical bar x vertical bar,u), x is an element of R-N, u is an element of H-1(R-N)
where b is allowed to be sign-changing. Under some assumptions on b is an element of C([0, infinity),R) and f is an element of C([0, infinity) x R-N, R), we obtain that the above system possesses infinitely many nonradial solutions. The method of proof relies on critical point theorem.

• 出版日期2015
• 单位湖南第一师范学院