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

✍ Scribed by Wang, Li

Book ID
120458437
Publisher
Scientific Research Publishing
Year
2013
Weight
270 KB
Volume
04
Category
Article
ISSN
2152-7385

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πŸ“œ SIMILAR VOLUMES

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In this paper, we consider a quasilinear elliptic system with both concave-convex nonlinearities and critical growth terms in bounded domains. The existence and multiplicity results of positive solutions are obtained by variational methods.

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The existence and multiplicity of weak solutions is established for a class of concave-convex elliptic systems of the form: R 2 \ {(0, 0)}, the weight m(x) is a positive bounded function and a(x), b(x) ∈ C (Ω) are functions which change sign in Ω. Our technical approach is based on the Nehari manifo