Existence of positive solutions for a class of boundary value problems with \(\boldsymbol{p} \)-Laplacian in Banach spaces

DOI10.3103/S1068362321040117zbMath1475.34022OpenAlexW3199593494MaRDI QIDQ2052725

Svetlin G. Georgiev, Karima Mebarki

Publication date: 26 November 2021

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1068362321040117

zbMATH Keywords

positive solutionBanach spacefixed point index\(p\)-Laplaciansum of two operators

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

Cites Work

• Positive solution for boundary value problems with \(p\)-Laplacian in Banach spaces
• Fixed point index theory for perturbation of expansive mappings by \(k\)-set contractions
• On fixed point index theory for the sum of operators and applications to a class of ODEs and PDEs
• Multiple positive fixed points for the sum of expansive mappings and k‐set contractions
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