Opuscula Math. 34, no. 1 (2014), 171-181
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.
- Received: 2013-01-16.
- Revised: 2013-06-24.
- Accepted: 2013-06-28.