Multiple solutions for a problem with resonance involving the p‐Laplacian

C. O. Alves, P. C. Carrião and O. H. Miyagaki

Abstract and Applied Analysis, 1998, vol. 3, issue 1-2, 191-201

Abstract: In this paper we will investigate the existence of multiple solutions for the problem (P) −Δpu+g(x,u)=λ1h(x)|u|p−2u, in Ω, u∈H01,p(Ω) where Δpu = div(|∇u|p−2∇u) is the p‐Laplacian operator, Ω⫅ℝN is a bounded domain with smooth boundary, h and g are bounded functions, N ≥ 1 and 1

Date: 1998
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https://doi.org/10.1155/S1085337598000517

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:3:y:1998:i:1-2:p:191-201

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