Layered stable equilibria of a reaction-diffusion equation with nonlinear Neumann boundary condition

DOI10.1016/j.jmaa.2008.06.001zbMath1159.35006OpenAlexW2000300357MaRDI QIDQ936577

Arnaldo Simal do Nascimento, Renato José de Moura

Publication date: 14 August 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.06.001

zbMATH Keywords

nonlinear boundary conditionreaction-diffusion equationinternal transition layerequal-area condition

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57)

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Cites Work

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• Asymptotic behavior and stability of solutions of semilinear diffusion equations
• Phase transition with the line-tension effect
• Stability of local minima and stable nonconstant equilibria
• An introduction to \(\Gamma\)-convergence
• On equilibrium solutions of diffusion equations with nonlinear boundary conditions
• Change of variables for absolutely continuous functions

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