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• W2007476281 abstract "In this work, motivated by [T.F. Wu, The Nehari manifold for a semilinear elliptic system involving sign-changing weight function, Nonlinear. Anal. 68 (2008) 1733–1745], and using recent ideas from Brown and Wu [K.J. Brown, T.F. Wu, A semilinear elliptic system involving nonlinear boundary condition and sign changing weight function, J. Math. Anal. Appl. 337 (2008) 1326–1336], we prove the existence of nontrivial nonnegative solutions to the nonlinear elliptic system {−Δpu+m(x)|u|p−2u=λ|u|γ−2u+αα+βc(x)|u|α−2u|v|β,x∈Ω,−Δpv+m(x)|v|p−2v=μ|v|γ−2v+βα+βc(x)|u|α|v|β−2v,x∈Ω,u=0=v,x∈∂Ω. Here Δp denotes the p-Laplacian operator defined by Δpz=div(|∇z|p−2∇z), p>2,Ω⊂RN is a bounded domain with smooth boundary, α>1,β>1,2<α+β<p<γ<p∗ (p∗=pNN−p if N>p, p∗=∞ if N≤p),∂∂n is the outer normal derivative, (λ,μ)∈R2∖{(0,0)}, the weight m(x) is a bounded function with ‖m‖∞>0, and c(x) is a continuous function which changes sign in Ω¯." @default.
• W2007476281 created "2016-06-24" @default.
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• W2007476281 date "2009-07-01" @default.
• W2007476281 modified "2023-10-16" @default.
• W2007476281 title "A remark on the existence of multiple solutions to a multiparameter nonlinear elliptic system" @default.
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• W2007476281 doi "https://doi.org/10.1016/j.na.2008.10.118" @default.
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