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The Nehari manifold for a class of concave–convex elliptic systems involving the -Laplacian and nonlinear boundary condition

✍ Scribed by S.H. Rasouli; G.A. Afrouzi

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
344 KB
Volume
73
Category
Article
ISSN
0362-546X

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✦ Synopsis

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 manifold which is similar to the fibering method of Drabek and Pohozaev (1997) [29] together with the recent idea from Brown and Wu (2008) [10].

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