Steady-states of the Gierer-Meinhardt system in exterior domains

Asymptotic behavior of solutions to PDEs (35B40) A priori estimates in context of PDEs (35B45) Second-order elliptic systems (35J47) Singular elliptic equations (35J75)

Cites Work

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On global existence for the Gierer-Meinhardt system
A new dynamical approach of Emden-Fowler equations and systems
Global existence of solutions of an activator-inhibitor system
Point-condensation phenomena and saturation effect for the one-dimensional Gierer-Meinhardt system
Cauchy-Liouville and universal boundedness theorems for quasilinear elliptic equations and inequalities.
Multi-bump ground states of the Gierer-Meinhardt system in \(\mathbb R^2\).
Dynamics of shadow system of a singular Gierer-Meinhardt system on an evolving domain
Concentration phenomena on \(Y\)-shaped metric graph for the Gierer-Meinhardt model with heterogeneity
On large ring solutions for Gierer-Meinhardt system in \(\mathbb R^3\)
Nonexistence of Positive Supersolutions of Elliptic Equations via the Maximum Principle
Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
The chemical basis of morphogenesis
Asymptotics of solutions of some nonlinear elliptic systems
Competition instabilities of spike patterns for the 1D Gierer–Meinhardt and Schnakenberg models are subcritical
Diffusion-induced blowup solutions for the shadow limit model of a singular Gierer–Meinhardt system
On the dynamics of a non-local parabolic equation arising from the Gierer–Meinhardt system
Steady-state solutions for Gierer-Meinhardt type systems with Dirichlet boundary condition
Identification of Space-Time Distributed Parameters in the Gierer--Meinhardt Reaction-Diffusion System
Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
Stable asymmetric spike equilibria for the Gierer–Meinhardt model with a precursor field
Nonexistence results and estimates for some nonlinear elliptic problems
Steady state solutions for the Gierer-Meinhardt system in the whole space
Spike solutions to the supercritical fractional Gierer-Meinhardt system
Regulating spatiotemporal dynamics for a delay Gierer-Meinhardt model
The stationary Gierer-Meinhardt system in the upper half-space: existence, nonexistence and asymptotics

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