Existence, nonexistence and uniqueness of positive stationary solutions of a singular Gierer-Meinhardt system
From MaRDI portal
Publication:524619
DOI10.3934/dcds.2017192zbMath1370.35146OpenAlexW2609854840MaRDI QIDQ524619
Rui Peng, Xianfa Song, Lei Wei
Publication date: 3 May 2017
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2017192
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Singular elliptic equations (35J75)
Related Items (5)
Turing–Hopf Bifurcation in Diffusive Gierer–Meinhardt Model ⋮ Multiple solutions to Gierer-Meinhardt systems ⋮ Steady state solutions for the Gierer-Meinhardt system in the whole space ⋮ The explicit solution to the initial-boundary value problem of Gierer-Meinhardt model ⋮ Blow-up of positive solutions to a singular Gierer-Meinhardt system
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Steady state solutions for a general activator-inhibitor model
- Global existence and finite time blow-up of solutions of a Gierer-Meinhardt system
- Mathematical aspects of pattern formation in biological systems
- Singular Gierer-Meinhardt systems of elliptic boundary value problems
- Global existence for a singular Gierer-Meinhardt system
- On positive solutions concentrating on spheres for the Gierer-Meinhardt system
- Global existence of solutions of an activator-inhibitor system
- The dynamics of a kinetic activator -- inhibitor system
- On a class of singular Gierer-Meinhardt systems arising in morphogenesis
- Lane-Emden systems with negative exponents
- A singular Gierer-Meinhardt system of elliptic equations: the classical case.
- A singular Gierer-Meinhardt system of elliptic equations
- A class of singular Gierer--Meinhardt systems of elliptic boundary value problems
- Point condensation generated by a reaction-diffusion system in axially symmetric domains
- On a class of sublinear singular elliptic problems with convection term
- Nonlinear PDEs
- On a Singular Nonlinear Elliptic Boundary-Value Problem
- A singular Gierer—Meinhardt system with different source terms
- On the Neumann Problem for Some Semilinear Elliptic Equations and Systems of Activator-Inhibitor Type
- The chemical basis of morphogenesis
- Positive Solutions of Singular Sublinear Dirichlet Boundary Value Problems
- A priori estimates of stationary solutions of an activator-inhibitor system
- Steady-state solutions for Gierer-Meinhardt type systems with Dirichlet boundary condition
- Stability of least energy patterns of the shadow system for an activator-inhibitor model.
This page was built for publication: Existence, nonexistence and uniqueness of positive stationary solutions of a singular Gierer-Meinhardt system
