Multi-bump ground states of the Gierer-Meinhardt system in \(\mathbb R^2\).
type: Item
instance of: scholarly article
title: Multi-bump ground states of the Gierer-Meinhardt system in \(\mathbb R^2\).
zbMATH Open document ID: 1114.35065
DOI: 10.1016/S0294-1449(02)00024-0
published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire
publication date: 2003-04-27T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/78574
Mathematics Subject Classification ID: 35J55
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35B45
Mathematics Subject Classification ID: 47N20
Mathematics Subject Classification ID: 92C15
Mathematics Subject Classification ID: 92C40
zbMATH DE Number: 1901027
zbMATH Keywords: Multi-bump solutions
zbMATH Keywords: Gierer-Meinhardt system
zbMATH Keywords: pattern formation
author: Manuel del Pino
author: Michal Kowalczyk
author: Juncheng Wei
MaRDI profile type: Publication
cites work: Dynamics of an interior spike in the Gierer-Meinhardt system
cites work: Boundary spikes in the Gierer-Meinhardt system
cites work: The Gierer \(\&\) Meinhardt system: The breaking of homoclinics and multi-bump ground states
cites work: Large stable pulse solutions in reaction-diffusion equations
cites work: Q5110819
cites work: Multi-peak solutions for a semilinear Neumann problem involving the critical Sobolev exponent
cites work: ON A SINGULARLY PERTURBED NEUMANN PROBLEM WITH THE CRITICAL EXPONENT
cites work: Multipeak solutions for a semilinear Neumann problem
cites work: Estimates for boundary-bubbling solutions to an elliptic Neumann problem
cites work: Multiple interior peak solutions for some singularly perturbed Neumann problems.
cites work: On Multiple Mixed Interior and Boundary Peak Solutions for Some Singularly Perturbed Neumann Problems
cites work: Multiple boundary peak solutions for some singularly perturbed Neumann problems
cites work: The stability of spike solutions to the one-dimensional Gierer-Meinhardt model
cites work: Multiple spike layers in the shadow Gierer-Meinhardt system: Existence of equilibria and the quasi-invariant manifold
cites work: Activators and Inhibitors in Pattern Formation
cites work: Large amplitude stationary solutions to a chemotaxis system
cites work: Q4221182
cites work: On the Neumann Problem for Some Semilinear Elliptic Equations and Systems of Activator-Inhibitor Type
cites work: On the shape of least‐energy solutions to a semilinear Neumann problem
cites work: Locating the peaks of least-energy solutions to a semilinear Neumann problem
cites work: Point condensation generated by a reaction-diffusion system in axially symmetric domains
cites work: Singular behavior of least-energy solutions of a semilinear Neumann problem involving critical Sobolev exponents
cites work: Stability of least energy patterns of the shadow system for an activator-inhibitor model.
cites work: Global Structure of Bifurcating Solutions of Some Reaction-Diffusion Systems
cites work: Point-condensation for a reaction-diffusion system
cites work: The chemical basis of morphogenesis
cites work: On the boundary spike layer solutions to a singularly perturbed Neumann problem
cites work: Uniqueness and critical spectrum of boundary spike solutions.
cites work: On single interior spike solutions of the Gierer–Meinhardt system: uniqueness and spectrum estimates
cites work: On the Two-Dimensional Gierer--Meinhardt System with Strong Coupling
cites work: Spikes for the Gierer-Meinhardt system in two dimensions: the strong coupling case
cites work: Spikes for the two-dimensional Gierer-Meinhardt system: the weak coupling case
description: scientific article; zbMATH DE number 1901027