Multiple Positive Solutions for Semilinear Elliptic Equations in ℝN Involving Concave‐Convex Nonlinearities and Sign‐Changing Weight Functions

Tsing-San Hsu and Huei-Li Lin

Abstract and Applied Analysis, 2010, vol. 2010, issue 1

Abstract: We study the existence and multiplicity of positive solutions for the following semilinear elliptic equation −Δu + u = λa(x) | u|q−2u + b(x) | u|p−2u in ℝN, u ∈ H1(ℝN), where λ > 0, 1

Date: 2010
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https://doi.org/10.1155/2010/658397

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2010:y:2010:i:1:n:658397

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