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Infinitely many solutions for a p-Laplacian boundary value problem with impulsive effects

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Abstract

In this paper, a p-Laplacian boundary value problem with impulsive effects is considered. By using variational methods and critical point theorems, some criteria are obtained to guarantee that the impulsive problem has infinitely many solutions when the impulsive functions satisfy superlinear or sublinear conditions. Our results further improve some existing results.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Central South University, Changsha, 410083, Hunan, P.R. China

    Hongxia Shi, Haibo Chen & Qi Zhang

Authors
  1. Hongxia Shi
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  2. Haibo Chen
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  3. Qi Zhang
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Corresponding author

Correspondence to Haibo Chen.

Additional information

This work was supported by Natural Science Foundation of China (11271372) and Hunan Provincial Natural Science Foundation of China (12JJ2004).

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Shi, H., Chen, H. & Zhang, Q. Infinitely many solutions for a p-Laplacian boundary value problem with impulsive effects. J. Appl. Math. Comput. 46, 93–106 (2014). https://doi.org/10.1007/s12190-013-0739-0

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  • DOI: https://doi.org/10.1007/s12190-013-0739-0

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