A generalization of Mahadevan's version of the Krein-Rutman theorem and applications to \(p\)-Laplacian boundary value problems

DOI10.1155/2012/305279zbMath1252.47045OpenAlexW2103197634WikidataQ58696284 ScholiaQ58696284MaRDI QIDQ448660

Jingxian Sun, Yujun Cui

Publication date: 7 September 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/305279

Mathematics Subject Classification ID

Degree theory for nonlinear operators (47H11) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Applications of operator theory to differential and integral equations (47N20) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (11)

Positive solutions to fractional boundary-value problems with \(p\)-Laplacian on time scales ⋮ Multiplicity for fractional differential equations with \(p\)-Laplacian ⋮ A fixed point theorem for systems of nonlinear operator equations and applications to \((p_1, p_2)\)-Laplacian system ⋮ On the existence of positive solutions for a fourth-order boundary value problem ⋮ Positive solutions for a boundary value problem of fractional differential equation with \(p\)-Laplacian operator ⋮ Multiplicity solutions for integral boundary value problem of fractional differential systems ⋮ Positive solutions of fractional differential equations with \(p\)-Laplacian ⋮ A fixed point theorem for positive strict set-contractions mappings and its application to Urysohn type integral equations ⋮ A counterexample to a nonlinear version of the Kreĭn-Rutman theorem by R.\,Mahadevan ⋮ On positive solutions for some second-order three-point boundary value problems with convection term ⋮ ITERATIVE METHOD FOR A CLASS OF FOURTH-ORDER <i>P</i>-LAPLACIAN BEAM EQUATION

Cites Work

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• A nonlinear Krein Rutman theorem
• Generalizing the Kreĭn-Rutman theorem, measures of noncompactness and the fixed point index
• Remarks on \(u_{0}\)-positive operators
• Eigenvalues for a class of homogeneous cone maps arising from max-plus operators
• Positive solutions of singular three-point boundary value problems for the one-dimensional \(p\)-Laplacian
• Existence of positive solutions for \(m\)-Laplacian boundary value problems
• Computation for topological degree and its applications
• A note on a nonlinear Krein-Rutman theorem
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Eigenvectors of Order-Preserving Linear Operators

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