Electron. J. Diff. Equ., Vol. 2015 (2015), No. 207, pp. 1-9.

Multiple solutions for p-Laplacian boundary-value problems with impulsive effects

Hongxia Shi, Haibo Chen

Abstract:
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.

Submitted March 15, 2015. Published August 10, 2015.
Math Subject Classifications: 34A37, 34B37.
Key Words: Boundary value problems; impulsive effects; nontrivial solutions; Morse theory; local linking.

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Hongxia Shi
School of Mathematics and Statistics
Central South University
Changsha, 410083 Hunan, China
email: shihongxia5617@163.com
Haibo Chen
School of Mathematics and Statistics
Central South University
Changsha, 410083 Hunan, China
email: math_chb@163.com, math_chb@csu.edu.cn

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