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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.doi:10.4236/am.2013.43067 fatcat:uoisd3h3r5enpi34wkhc6homi4