Stable equilibria to a singularly perturbed reaction-diffusion equation in a degenerated heterogeneous environment

DOI10.1016/j.jmaa.2015.08.071zbMath1327.35012OpenAlexW1789233860MaRDI QIDQ499249

Maicon Sônego, Arnaldo Simal do Nascimento

Publication date: 30 September 2015

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.2015.08.071

zbMATH Keywords

\(\Gamma\)-convergencedegenerated heterogeneous environmentfour families of stable stationary solutions

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Pattern formations in context of PDEs (35B36)

Related Items (1)

Patterns in a balanced bistable equation with heterogeneous environments on surfaces of revolution

Cites Work

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• The effect of a singular perturbation on nonconvex variational problems
• Geometric theory of semilinear parabolic equations
• Stable transition layers in a balanced bistable equation with degeneracy
• Multiple stable patterns in a balanced bistable equation with heterogeneous environments
• Local minimisers and singular perturbations
• Weakly Differentiable Functions
• Stable stationary solutions induced by spatial inhomogeneity via ?-convergence
• Stable transition layers in a balanced bistable equation

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