Some non-local problems with nonlinear diffusion

DOI10.1016/j.mcm.2011.05.038zbMath1235.35113OpenAlexW2015159419MaRDI QIDQ409897

Antonio Suárez, Manuel Delgado, Francisco Julio Sobreira de Araujo Correa

Publication date: 15 April 2012

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2011.05.038

zbMATH Keywords

nonlinear diffusionpopulation dynamicnon-local terms

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Population dynamics (general) (92D25) Nonlinear elliptic equations (35J60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Positive solutions to PDEs (35B09) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (12)

Combining local and nonlocal terms in a nonlinear elliptic problem ⋮ The multiplicity of positive solutions for a class of nonlocal elliptic problem ⋮ Erratum to: ``Existence and uniqueness of steady state solutions of a nonlocal diffusive logistic equation ⋮ The sign-changing solutions for a class of nonlocal elliptic problem in an annulus ⋮ Nonlocal problems arising from the birth-jump processes ⋮ On computation of bounds of the bifurcation parameter for a non-local elliptic equation with increasing nonlinearity ⋮ How to break the uniqueness of \(W^{1,p}_{\mathrm {loc}}(\Omega )\)-solutions for very singular elliptic problems by non-local terms ⋮ The sign-changing solutions for nonlinear elliptic problem with Carrier type ⋮ Nonlocal singular elliptic system arising from the amoeba–bacteria population dynamics ⋮ Concentrated solution for some non-local and non-variational singularly perturbed problems ⋮ The existence of multiple positive solutions for a class of non-local elliptic problem in RN ⋮ Existence of a positive solution for a class of non-local elliptic problem with critical growth in \(\mathbb{R}^N\)

Cites Work

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• Local vs. non-local interactions in population dynamics
• On the diffusion of biological populations
• Global existence and finite-time blow-up for a class of nonlocal parabolic problems
• On the structure of the positive solutions of the logistic equation with nonlinear diffusion
• On positive solutions of nonlocal and nonvariational elliptic problems
• On the linearization of some singular, nonlinear elliptic problems and applications
• Nonlocal elliptic equations.
• Further spectral properties of uniformly elliptic operators that include a non-local term
• Support properties of solutions for a class of degenerate parabolic problems
• Positivity results for a nonlocal elliptic equation
• Some remarks on non local elliptic and parabolic problems
• Positivity of solutions of elliptic equations with nonlocal terms
• On a variational approach to some non-local boundary value problems
• Positive solutions for singular nonlinear elliptic equations

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