Existence results for a class of nonlocal problems involving p-Laplacian

Research

Yang Yang¹^* and Jihui Zhang²

¹ School of Science, Jiangnan University, Wuxi, 214122, People's Republic of China

² Institute of Mathematics, School of Mathematics Science, Nanjing Normal University, Nanjing, 210097, People's Republic of China

For all author emails, please log on.

Boundary Value Problems 2011, 2011:32 doi:10.1186/1687-2770-2011-32

Published: 11 October 2011

This paper is concerned with the existence of solutions to a class of p-Kirchhoff type equations with Neumann boundary data as follows:

By means of a direct variational approach, we establish conditions ensuring the existence and multiplicity of solutions for the problem.

Nonlocal problems; Neumann problem; p-Kirchhoff's equation