On the Fredholm alternative for the \(p\)-Laplacian

DOI10.1016/S0096-3003(03)00653-2zbMath1058.34019OpenAlexW2021991815MaRDI QIDQ1826996

Xiaojing Yang

Publication date: 6 August 2004

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(03)00653-2

zbMATH Keywords

\(p\)-LaplacianFredholm alternativeLeray-Schauder degreegeneralized polar coordinates

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15)

Related Items (1)

Existence theorems for the one-dimensional singular \(p\)-Laplacian equation with a nonlinear boundary condition

Cites Work

• A homotopic deformation along \(p\) of a Leray-Schauder degree result and existence for \((| u'| ^{p-2}u')'+f(t,u)=0\), \(u(0)=u(T)=0\), \(p>1\)
• Global bifurcation from the eigenvalues of the \(p\)-Laplacian
• The Fredholm alternative at the first eigenvalue for the one dimensional \(p\)-Laplacian
• The range of the \(p\)-Laplacian
• On the closed solution to some nonhomogeneous eigenvalue problem with \(p\)-Laplacian
• Bifurcation Phenomena Associated to the p-Laplace Operator
• On the Fredholm alternative for the $p$-Laplacian
• Multiple Solutions for the p-Laplacian Under Global Nonresonance

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