Multiple solutions for a kind of periodic boundary value problems via variation approach

  • Li Zhang Collaborative Innovation Center of eTourism, Beijing Union University, Beijing 100101, China
  • Nao Li Collaborative Innovation Center of eTourism, Beijing Union University, Beijing 100101, China
  • Yujie Xu Department of Foundation Courses, Beijing Union University, Beijing 100101, China
  • Qian Xu Department of Foundation Courses, Beijing Union University, Beijing 100101, China
  • Chong Li Department of Foundation Courses, Beijing Union University, Beijing 100101, China
Keywords: p-laplacian, boundary value problem, variational, periodic solution

Abstract

In this paper, the existence of at least two solutions for periodic boundary value problems is obtained by the critical point theory. The interest is that the nonlinear term includes the first-order derivative and may not satisfy the classical Ambrosetti-Rabinowitz condition.

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References

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Published
2017-10-14
How to Cite
Zhang, L., Li, N., Xu, Y., Xu, Q., & Li, C. (2017). Multiple solutions for a kind of periodic boundary value problems via variation approach. Journal of Progressive Research in Mathematics, 12(4), 2002-2009. Retrieved from http://scitecresearch.com/journals/index.php/jprm/article/view/1270
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Articles