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

AM > Vol.4 No.3, March 2013

Applied Mathematics

Volume 4, Issue 3 (March 2013)

ISSN Print: 2152-7385 ISSN Online: 2152-7393

Google-based Impact Factor: 0.58 Citations

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 5,523 Downloads 11,754 Views Citations

Author(s)

Li Wang

Affiliation(s)

East China Jiaotong University, Nanchang, China.

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.

KEYWORDS

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

Share and Cite:

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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