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Existence and Multiplicity of solutions for a quasilinear elliptic system on unbounded domains involving nonlinear boundary conditions
Authors:Somayeh Khademloo  Ghasem Alizadeh Afrouzi and Jiafa Xu
Institution:Babol (Noushirvani) University of Technology Babol, Iran,University of Mazandaran, Babolsar, Iran and Chongqing Normal University
Abstract:We prove two existence results for the nonlinear elliptic boundary value system involving $p$-Laplacian over an unbounded domain in $R^N$ with noncompact boundary. The proofs are based on variational methods applied to weighted spaces.
Keywords:Quasilinear elliptic systems    nonlinear boundary conditions  variational methods  weighted function spaces  
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