Multiplicity of Positive Solutions for a p‐q‐Laplacian Type Equation with Critical Nonlinearities

Tsing-San Hsu and Huei-Li Lin

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: We study the effect of the coefficient f(x) of the critical nonlinearity on the number of positive solutions for a p‐q‐Laplacian equation. Under suitable assumptions for f(x) and g(x), we should prove that for sufficiently small λ > 0, there exist at least k positive solutions of the following p‐q‐Laplacian equation, -Δpu-Δqu= fxu|p*-2 u+λgxu|r-2 u in Ω , u = 0 on ∂Ω, where Ω ⊂ RN is a bounded smooth domain, N > p, 1

Date: 2014
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https://doi.org/10.1155/2014/829069

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:829069

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