Author(s)

Li Wang

East China Jiaotong University, Nanchang, China.

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.

Multiple Solutions; Quasilinear Elliptic Systems; Nehari Manifold; Fibering Method

L. Wang, "Multiple Solutions for a Class of Concave-Convex Quasilinear Elliptic Systems with Nonlinear Boundary Condition," Applied Mathematics, Vol. 4 No. 3, 2013, pp. 449-455. doi: 10.4236/am.2013.43067.