MULTIPLE SOLUTIONS FOR FRACTIONAL SCHRODINGER EQUATIONS

作者：Shi, Hongxia; Chen, Haibo^*

来源：Electronic Journal of Differential Equations, 2015, 25.

• Fractional Schrodinger equations
• variational methods
• Morse theory
• local linking

In this article we study the fractional Schrodinger equations
(-Delta)(alpha)u + V(x)u = f(x, u) in R-N,
where 0 < alpha < 1, N >= 2, (-Delta)(alpha) stands for the fractional Laplacian of order alpha. First by using Morse theory in combination with local linking arguments, we prove the existence of at least two nontrivial solutions. Next we prove that the problem has k distinct pairs of solutions by using the Clark theorem.

• 出版日期2015-1-27
• 单位中南大学