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

Li Zhang; Nao Li; Yujie Xu; Qian Xu; Chong Li

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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