Multiplicity Results for p‐Laplacian with Critical Nonlinearity of Concave‐Convex Type and Sign‐Changing Weight Functions

Tsing-San Hsu

Abstract and Applied Analysis, 2009, vol. 2009, issue 1

Abstract: The multiple results of positive solutions for the following quasilinear elliptic equation: −Δpu=λf(x)|u|q−2u+g(x)|u|p∗−2u in Ω, u = 0 on ∂Ω, are established. Here, 0 ∈ Ω is a bounded smooth domain in ℝN, Δp denotes the p‐Laplacian operator, 1 ≤ q

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2009:y:2009:i:1:n:652109

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