MULTIPLE SOLUTIONS FOR P-LAPLACIAN BOUNDARY-VALUE PROBLEMS WITH IMPULSIVE EFFECTS

作者：Shi, Hongxia; Chen, Haibo^*

来源：Electronic Journal of Differential Equations, 2015, 207.

• Boundary value problems
• impulsive effects
• nontrivial solutions
• Morse theory
• local linking

In this article we study a class of boundary value problems with impulsive effects. First by using Morse theory in combination with local linking arguments, the existence result of at least two nontrivial solutions are obtained. Next we prove that the problems have k distinct pairs of solutions by using the Clark theorem. Recent results from the literature are improved and extended.

• 出版日期2015-8-10
• 单位中南大学