TITLE:
Multiple Solutions for a Class of Concave-Convex Quasilinear Elliptic Systems with Nonlinear Boundary Condition
AUTHORS:
Li Wang
KEYWORDS:
Multiple Solutions; Quasilinear Elliptic Systems; Nehari Manifold; Fibering Method
JOURNAL NAME:
Applied Mathematics,
Vol.4 No.3,
March
21,
2013
ABSTRACT: In this paper, a quasilinear elliptic system is investigated, which involves concave-convex nonlinearities and nonlinear boundary condition. By Nehari manifold, fibering method and analytic techniques, the existence of multiple nontrivial nonnegative solutions to this equation is verified.