Exact number of solutions of stationary reaction-diffusion equations

DOI10.1016/j.amc.2010.02.017zbMath1197.34022OpenAlexW2024323840MaRDI QIDQ972173

Leonelo Iturriaga, Justino Sánchez

Publication date: 25 May 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2010.02.017

zbMATH Keywords

positive solutions\(p\)-Laplacianshooting methodupper and lower solutions methodflat core

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) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (4)

Positive solutions for a second-order \(p\)-Laplacian boundary value problem with impulsive effects and two parameters ⋮ The shooting method and integral boundary value problems of third-order differential equation ⋮ Existence of a positive solution for one-dimensional singular \(p\)-Laplacian problems and its parameter dependence ⋮ Deviating arguments, impulsive effects, and positive solutions for second order singular \(p\)-Laplacian equations

Cites Work

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• Infinitely many radial solutions to a boundary value problem in a ball
• Asymptotic properties of a reaction-diffusion equation with degenerate \(p\)-Laplacian
• Exact multiplicity of positive solutions for a class of semilinear problem. II
• Existence of positive solutions for \(p\)-Laplacian problems with weights
• Multiplicity of solutions for a class of nonlinear second-order equations
• Flat Core Properties Associated to the p-Laplace Operator
• Uniqueness and Flat Core of Positive Solutions for Quasilinear Elliptic Eigenvalue Problems in General Smooth Domains
• Bifurcation Phenomena Associated to the p-Laplace Operator
• Positive solutions of a degenerate elliptic equation with logistic reaction
• A complete classification of bifurcation diagrams of a \(p\)-Laplacian Dirichlet problem
• Stationary profiles of degenerate problems when a parameter is large

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