The Fredholm alternative for the one-dimensional \(p\)-Laplacian

DOI10.1016/J.JMAA.2004.03.077zbMath1086.34019OpenAlexW2018856843MaRDI QIDQ703884

Xiaojing Yang

Publication date: 12 January 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.03.077

zbMATH Keywords

Fredholm alternativeone-dimensional \(p\)-LaplacianLeray-Schauder method

Mathematics Subject Classification ID

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

Related Items (2)

Perturbation of the \(p\)-Laplacian by vanishing nonlinearities (in one dimension) ⋮ Solvability of the resonant 1-dimensional periodic \(p\)-Laplacian equations

Cites Work

• A homotopic deformation along \(p\) of a Leray-Schauder degree result and existence for \((| u'| ^{p-2}u')'+f(t,u)=0\), \(u(0)=u(T)=0\), \(p>1\)
• The Fredholm alternative at the first eigenvalue for the one dimensional \(p\)-Laplacian
• On the closed solution to some nonhomogeneous eigenvalue problem with \(p\)-Laplacian
• On the Fredholm Alternative for the p -Laplacian in One Dimension
• On the Fredholm alternative for the $p$-Laplacian
• Generic Fredholm alternative-type results for the one dimensional \(p\)-Laplacian.
• Fredholm alternative for the \(p\)-Laplacian in higher dimensions

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