Stationary patterns to diffusion problems

DOI<link itemprop=identifier href="https://doi.org/10.1002/1099-1476(20001110)23:16<1467::AID-MMA174>3.0.CO;2-G" /><1467::AID-MMA174>3.0.CO;2-G 10.1002/1099-1476(20001110)23:16<1467::AID-MMA174>3.0.CO;2-GzbMath1075.34512OpenAlexW2120916705MaRDI QIDQ4762917

José C. Sabina De Lis, Jorge García-Melián

Publication date: 2000

Full work available at URL: https://doi.org/10.1002/1099-1476(20001110)23:16<1467::aid-mma174>3.0.co;2-g

zbMATH Keywords

stabilitysingular perturbationflat patterns and corestransition and boundary layers

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Periodic solutions to ordinary differential equations (34C25) Nonlinear elliptic equations (35J60) Almost and pseudo-almost periodic solutions to PDEs (35B15) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10)

Related Items (4)

Multiplicity of solutions to a degenerate diffusion problem. ⋮ 1D logistic reaction and \(p\)-Laplacian diffusion as \(p\) goes to one ⋮ \(p\)-Laplacian diffusion coupled to logistic reaction: asymptotic behavior as \(p\) goes to 1. To the memory of Professor Ireneo Peral Alonso, a brilliant mathematician, excellent person and dear friend ⋮ On the bifurcation curve for an elliptic system of FitzHugh-Nagumo type

Cites Work

• A homotopic deformation along \(p\) of a Leray-Schauder degree result and existence for \((| u'| ^{p-2}u')'+f(t,u)=0\), \(u(0)=u(T)=0\), \(p>1\)
• Uniqueness of the solution of a semilinear boundary value problem
• Stable transition layers in a semilinear boundary value problem
• On the monotonicity of the time-map
• Global bifurcation of steady-state solutions
• Generic bifurcation of steady-state solutions
• Singular perturbation methods for ordinary differential equations
• Phase-plane solutions to some singular perturbation problems
• Convergence of solutions of one-dimensional semilinear parabolic equations
• On the global structure of the set of positive solutions of some semilinear elliptic boundary value problems
• Non-degenerate solutions of boundary-value problems
• Attractors of Some Reaction Diffusion Problems
• On the maximum of solutions for a semilinear elliptic problem

This page was built for publication: Stationary patterns to diffusion problems