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Multiple Solutions for a Class of Concave-Convex Quasilinear Elliptic Systems with Nonlinear Boundary Condition

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DOI: 10.4236/am.2013.43067    4,914 Downloads   10,595 Views  
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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.

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Cite this paper

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.


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