Multiple stable patterns in a balanced bistable equation with heterogeneous environments

DOI10.1080/00036811003717947zbMath1193.35047OpenAlexW2084443907WikidataQ58305082 ScholiaQ58305082MaRDI QIDQ3577856

Hiroshi Matsuzawa, Kazuhiro Kurata

Publication date: 26 July 2010

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811003717947

zbMATH Keywords

bistable nonlinearityheterogeneous environmentsstable pattern

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Developmental biology, pattern formation (92C15) Variational methods for second-order elliptic equations (35J20)

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The sub-supersolution method for the Fitzhugh-Nagumo type reaction-diffusion system with heterogeneity, Stable transition layer induced by degeneracy of the spatial inhomogeneities in the Allen-Cahn problem, Stable equilibria to a singularly perturbed reaction-diffusion equation in a degenerated heterogeneous environment, Patterns in a balanced bistable equation with heterogeneous environments on surfaces of revolution, On the weakly degenerate Allen-Cahn equation, The ground state of a Gross-Pitaevskii energy with general potential in the Thomas-Fermi limit

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