Opuscula Math. 34, no. 1 (2014), 171-181
http://dx.doi.org/10.7494/OpMath.2014.34.1.171
Opuscula Mathematica
A Neumann boundary value problem for a class of gradient systems
Abstract. In this paper we study a class of two-point boundary value systems. Using very recent critical points theorems, we establish the existence of one non-trivial solution and infinitely many solutions of this problem, respectively.
Keywords: Neumann problems, weak solutions, critical points, \((p_1,\ldots, p_n)\)-Laplacian.
Mathematics Subject Classification: 35J65, 35J60, 47J30, 58E05.
- Wen-Wu Pan
- Sichuan University of Science and Engineering, Department of Science, Zigong 643000, PR China
- Lin Li
- Southwest University, School of Mathematics and Statistics, Chongqing 400715, PR China
- Received: 2013-01-16.
- Revised: 2013-06-24.
- Accepted: 2013-06-28.
