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The monotonicity condition and a priori estimates of the Hölder norm for a class of nondiagonal elliptic systems with quadratic nonlinearity

✍ Scribed by A. A. Arkhipova


Publisher
Springer US
Year
2007
Tongue
English
Weight
207 KB
Volume
142
Category
Article
ISSN
1573-8795

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The Nehari manifold for a class of conca
✍ S.H. Rasouli; G.A. Afrouzi 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 344 KB

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