Existence of solutions for a class of weakly coupled semilinear elliptic systems

DOI10.1016/0022-0396(89)90148-4zbMath0701.35073OpenAlexW2019963567MaRDI QIDQ914057

N. E. Zubov

Publication date: 1989

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(89)90148-4

zbMATH Keywords

Lyapunov functionnonnegative componentssteady state solutions to reaction diffusion systems

Mathematics Subject Classification ID

Related Items (7)

A prior1 bounds for a class of stationary diffusion systems ⋮ Existence for Some Quasilinear Elliptic Systems with Critical Growth Nonlinearity and L 1 Data ⋮ Forward containment for semilinear parabolic systems ⋮ Interior estimates for a class of reaction-diffusion systems from \(L^ 1\) a priori estimates ⋮ Weakly coupled semilinear parabolic evolution systems ⋮ Steady state solutions for certain reaction diffusion systems ⋮ Generalized Lyapunov structure for a class of semilinear parabolic systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the existence of steady states of certain reaction-diffusion systems
• Maximum principles and their applications
• Uniform bounds from bounded \(L_ p-\)functionals in reaction-diffusion equations
• Geometric theory of semilinear parabolic equations
• Bifurcation and stability of periodic traveling waves for a reaction- diffusion system
• Nonlinear perturbations of uncoupled systems of elliptic operators
• Global Existence for Semilinear Parabolic Systems
• Convergence to equilibrium in a reaction-diffusion system
• On the Existence of Steady States for a Class of Diffusion-Reaction Systems
• Global Existence and Boundedness in Reaction-Diffusion Systems
• Stationary solutions of reaction-diffusion equations
• Elliptic Partial Differential Equations of Second Order
• Boundary value problems for quasilinear second order elliptic equations

This page was built for publication: Existence of solutions for a class of weakly coupled semilinear elliptic systems