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

Wen-Wu Pan
Lin Li

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.

Full text (pdf)