Positive solution to the nonlinear abstract Hammerstein equation and applications to \(\phi\)-Laplacian BVPs

DOI10.1007/S00030-012-0162-5zbMath1290.47061OpenAlexW1967048939MaRDI QIDQ354397

Abdelhamid Benmezaï, Salima Mechrouk

Publication date: 19 July 2013

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-012-0162-5

zbMATH Keywords

Hammerstein equationfixed point index theoryBVPs

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Nonlinear boundary value problems for ordinary differential equations (34B15) Degree theory for nonlinear operators (47H11)

Related Items (5)

On one-dimensional superlinear indefinite problems involving the \(\phi \)-Laplacian ⋮ Fixed point theorems in the study of positive strict set-contractions ⋮ Fixed point theorems in cones and application ⋮ Positive solutions for nonlinear problems involving the one-dimensional \(\phi\)-Laplacian ⋮ Unnamed Item

Cites Work

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• A nonlinear Krein Rutman theorem
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• Strongly nonlinear second-order ODEs with rapidly growing terms
• A note on a nonlinear Krein-Rutman theorem
• Multiplicity of solutions for a class of nonlinear second-order equations

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