Unbounded solutions for a periodic phase transition model
In an earlier paper, [1], the authors treated a family of Allen-Cahn model problems for which 0 and 1 are solutions and further solutions were found that are near 1 on a prescribed set, T + Omega, where T subset of Z(n), and near 0 on (Z(n)\T) + Omega. Here Omega subset of (0, 1)(n). In this paper, a more general class of potentials is treated for which the pair, {0, 1}, is replaced by Z and the existence of a far richer structure of shadowing solutions, including unbounded ones, is established. (C) 2015 Elsevier Inc. All rights reserved
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Issue Date
- 2016-01
- Language
- English
- Article Type
- Article
- Keywords
STATIONARY LAYERED SOLUTIONS; ALLEN-CAHN EQUATIONS; VARIATIONAL-PROBLEMS; ELLIPTIC PROBLEMS; R-N; MULTIPLICITY; R-2; MINIMIZERS; SYSTEMS; TORUS
- Citation
JOURNAL OF DIFFERENTIAL EQUATIONS, v.260, no.2, pp.1126 - 1153
- ISSN
- 0022-0396
- Appears in Collection
- MA-Journal Papers(저널논문)
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