Nontrivial solutions of a nonlinear heat flow problem via Sperner's lemma

DOI10.1016/j.aml.2009.03.014zbMath1173.34311OpenAlexW2013611211WikidataQ124855065 ScholiaQ124855065MaRDI QIDQ1033039

Gennaro Infante, Panos K. Palamides, Paolamaria Pietramala

Publication date: 6 November 2009

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2009.03.014

zbMATH Keywords

vector fieldnontrivial solutionnonlocal boundary value problemKneser's theoremKnaster-Kuratowski-Mazurkiewicz principle

Mathematics Subject Classification ID

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

Related Items (8)

Solutions of perturbed Hammerstein integral equations with applications ⋮ Multipoint boundary value problems of Neumann type for functional differential equations ⋮ Existence of positive solutions for a thermostat model ⋮ Polynomial approximation to a non-local boundary value problem ⋮ Positive and increasing solutions of perturbed Hammerstein integral equations with derivative dependence ⋮ Eigenvalue for a singular second order three-point boundary value problem ⋮ Existence of solutions of nonlinear and non-local fractional boundary value problems ⋮ Positive solutions of a fractional thermostat model with a parameter

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Upper and lower solutions for problems with singular sign changing nonlinearities and with nonlinear boundary data
• Positive solutions of some nonlinear BVPs involving singularities and integrals BCS
• Multiple positive solutions of some nonlinear heat flow problems
• A fundamentally simple approach to a singular boundary value problem
• Optimal constants in a nonlocal boundary value problem
• Existence of positive solutions for second order differential equations arising from chemical reactor theory
• Singular boundary value problems, via Sperner's Lemma
• Focal points of nonlinear equations - a dynamical analysis
• Remark on a sufficient condition for multiplicity in a model in chemical reactor theory
• A three point boundary value problem for nonlinear fourth order differential equations.
• Existence of solutions to second order problems with nonlinear boundary conditions
• A necessary and sufficient condition for the existence of positive solutions of fourth-order singular boundary value problems
• Multiple positive solutions for the one-dimensional \(p\)-Laplacian
• On positive solutions of some nonlinear fourth-order beam equations
• Positive solutions for eigenvalue problems of fourth-order elastic beam equations.
• Sufficient conditions for the existence of nonnegative solutions of a nonlocal boundary value problem
• Upper and lower solutions for singular problems arising in the theory of membrane response of a spherical cap.
• Loss of positivity in a nonlinear scalar heat equation
• Positive solutions of a second-order integral boundary value problem
• Boundary-value problems for shallow elastic membrane caps
• Multiple Positive Solutions of Semilinear Differential Equations with Singularities
• NONLINEAR NON-LOCAL BOUNDARY-VALUE PROBLEMS AND PERTURBED HAMMERSTEIN INTEGRAL EQUATIONS
• Positive solutions of nonlinear fourth-order boundary-value problems with local and non-local boundary conditions
• Non-local boundary value problems of arbitrary order
• A Singular Nonlinear Boundary Value Problem: Membrane Response of a Spherical Cap
• Multiple symmetric positive solutions of a class of boundary value problems for higher order ordinary differential equations
• Gradual loss of positivity and hidden invariant cones in a scalar heat equation
• Conjugate boundary value problems, via Sperner's lemma

This page was built for publication: Nontrivial solutions of a nonlinear heat flow problem via Sperner's lemma