A variational approach for a class of singular perturbation problems and applications-Reference-Cited by-同舟云学术

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A variational approach for a class of singular perturbation problems and applications

Published:1987 Issue:1-2 Volume:107 Page:27-42
ISSN:0308-2105
Container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics
language:en
Short-container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Author:

Alikakos Nicholas D.,Simpson Henry C.

Abstract

SynopsisWe study the limit as ε → 0 of global minimisers of functionals of the type

where Ω is an annul us or a ball in ℝn.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference20 articles.

1. Stability theorem for singularly perturbed solutions to systems of reaction-diffusion equations

2. Existence and stability of necking deformations for nonlinearly elastic rods

3. The free boundary of a semilinear elliptic equation

4. 5 Angenent S. B. , Mallet-Paret J. and Peletier L. A. . Stable transition layers in a semilinear boundary value problem (preprint).

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1. Coexistence of two interfaces for an anisotropic Fife-Greenlee equation;Discrete and Continuous Dynamical Systems;2024

2. Locations of interior transition layers to inhomogeneous transition problems in higher -dimensional domains;Proceedings of the Royal Society of Edinburgh: Section A Mathematics;2022-03-08

3. Clustering of boundary interfaces for an inhomogeneous Allen–Cahn equation on a smooth bounded domain;Calculus of Variations and Partial Differential Equations;2021-04

4. Connectivity of boundaries by clustering phase transition layers of Fife-Greenlee problem on smooth bounded domain;Journal of Differential Equations;2020-07

5. Phase transition layers with boundary intersection for an inhomogeneous Allen–Cahn equation;Journal of Differential Equations;2019-04

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