Nonexistence of coexisting steady‐state solutions of Dirichlet problem for a cross‐diffusion model

DOI10.1002/mma.5350zbMath1411.35109OpenAlexW2896754560MaRDI QIDQ4626751

Ningning Zhu, De Tang

Publication date: 28 February 2019

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.5350

zbMATH Keywords

Dirichlet boundary conditioncross-diffusionSKT modelsteady-state solution

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic systems (35J57)

Cites Work

• Unnamed Item
• Pattern formation in a cross-diffusion system
• Nonexistence of nonconstant steady-state solutions in a triangular cross-diffusion model
• The existence and structure of large spiky steady states for S-K-T competition systems with cross-diffusion
• On limit systems for some population models with cross-diffusion
• Coexistence problem for two competing species models with density- dependent diffusion
• On uniqueness of positive solutions of nonlinear elliptic boundary value problems
• Stability of steady-state solutions to a prey--predator system with cross-diffusion.
• Multiple coexistence states for a prey-predator system with cross-diffusion.
• On a limiting system in the Lotka-Volterra competition with cross-diffusion.
• Diffusion, self-diffusion and cross-diffusion
• On Dirichlet problem for a class of delayed reaction-diffusion equations with spatial non-locality
• The instability of spiky steady states for a competing species model with cross diffusion
• Threshold dynamics of a delayed reaction diffusion equation subject to the Dirichlet condition
• Limiting Structure of Shrinking Solutions to the Stationary Shigesada--Kawasaki--Teramoto Model with Large Cross-Diffusion