Positive solutions of higher order quasilinear elliptic equations

Marcelo Montenegro

Abstract and Applied Analysis, 2002, vol. 7, issue 8, 423-452

Abstract: The higher order quasilinear elliptic equation −Δ(Δp(Δu)) = f(x, u) subject to Dirichlet boundary conditions may have unique and regular positive solution. If the domain is a ball, we obtain a priori estimate to the radial solutions via blowup. Extensions to systems and general domains are also presented. The basic ingredients are the maximum principle, Moser iterative scheme, an eigenvalue problem, a priori estimates by rescalings, sub/supersolutions, and Krasnosel′skiĭ fixed point theorem.

Date: 2002
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https://doi.org/10.1155/S1085337502204030

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:7:y:2002:i:8:p:423-452

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