Perturbative techniques for the construction of spike-layers

Autor:	Andrea Malchiodi
Přispěvatelé:	Malchiodi, Andrea
Rok vydání:	2020
Předmět:	Physics Applied Mathematics Singularly Perturbed Elliptic Problems Finite-dimensional reduction Pattern formation Discrete Mathematics and Combinatorics Pattern formation SPHERES Spike (software development) Statistical physics Nonlinear Sciences::Pattern Formation and Solitons Analysis
Zdroj:	Discrete & Continuous Dynamical Systems - A. 40:3767-3787
ISSN:	1553-5231
Popis:	In this paper we survey some results concerning the construction of spike-layers, namely solutions to singularly perturbed equations that exhibit a concentration behaviour. Their study is moti- vated by the analysis of pattern formation in biological systems such as the Keller-Segel or the Gierer- Meinhardt’s. We describe some general perturbative variational strategy useful to study concentration at points, and also at spheres in radially symmetric situations.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::001bd2d1178cf879c8c3d521ba5eb567 https://doi.org/10.3934/dcds.2020055 Zobrazit plný text záznamu