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Multiplicity of solutions to a nonlinear elliptic problem with nonlinear boundary conditions

✍ Scribed by García-Melián, Jorge; Rossi, Julio D.; Sabina de Lis, José C.


Book ID
121503284
Publisher
SP Birkhäuser Verlag Basel
Year
2013
Tongue
English
Weight
457 KB
Volume
21
Category
Article
ISSN
1021-9722

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Existence and multiplicity of solutions
✍ Xiaoming He; Wenming Zou 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 625 KB

In this paper we prove the existence and multiplicity of solutions for the elliptic system with nonlinear coupling at the smooth boundary given by where Ω is a bounded domain of R N with smooth boundary, ∂/∂ν is the outer normal derivative. The proofs are done under suitable assumptions on the Ham