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- W2066278829 abstract "In this paper we study the problem−Δpu=fx,u,∇uin Ωu=0on ∂Ω,where Ω ⊂ RN is a smooth bounded domain, N ≥ 2, and Δpu = div(|∇u|p − 2 ∇u) defines the p-Laplacian. We provide some necessary and sufficient conditions on f under which the problem admits a weak solution. For the case p = 2 we obtain more general conditions on f. The main ingredients are degree theory and the super-subsolution method." @default.
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- W2066278829 date "2000-05-01" @default.
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- W2066278829 title "Existence and Nonexistence of Solutions for Quasilinear Elliptic Equations" @default.
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- W2066278829 doi "https://doi.org/10.1006/jmaa.1999.6697" @default.
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