Existence of three solutions for a nonlocal elliptic system of
1 Department of Construction and Information Engineering, Guangxi Modern Vocational Technology College, Hechi, Guangxi, 547000, China
2 Faculty of Science, Guilin University of Aerospace Industry, Guilin, Guangxi, 541004, China
3 Department of Common Courses, Xinxiang Polytechnic College, Xinxiang, Henan, 453006, China
4 School of Electronic Engineering, Xidian University, Xi’an, Shanxi, 710126, China
Boundary Value Problems 2013, 2013:175 doi:10.1186/1687-2770-2013-175Published: 25 July 2013
In this paper, we study the solutions of a nonlocal elliptic system of -Kirchhoff type on a bounded domain based on the three critical points theorem introduced by Ricceri. Firstly, we establish the existence of three weak solutions under appropriate hypotheses; then, we prove the existence of at least three weak solutions for the nonlocal elliptic system of -Kirchhoff type.