Eigenvalues and bifurcation for problems with positively homogeneous operators and reaction-diffusion systems with unilateral terms

DOI10.1016/j.na.2017.10.004zbMath1380.35020OpenAlexW2767427792MaRDI QIDQ1683751

Milan Kučera, Josef Navrátil

Publication date: 1 December 2017

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2017.10.004

zbMATH Keywords

global bifurcationmaximal eigenvaluevariational characterizationTuring's instabilityunilateral sources

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Bifurcations in context of PDEs (35B32) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (3)

An influence of unilateral sources and sinks in reaction-diffusion systems exhibiting Turing's instability on bifurcation and pattern formation ⋮ Unilateral sources and sinks of an activator in reaction-diffusion systems exhibiting diffusion-driven instability ⋮ Bifurcation in skew-symmetric reaction-diffusion systems with unilateral terms

Cites Work

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• Methods of Nonlinear Analysis
• Global Structure of Bifurcating Solutions of Some Reaction-Diffusion Systems
• Weakly Differentiable Functions
• Reaction-diffusion systems: stabilizing effect of conditions described by quasivariational inequalities
• Bifurcation points and eigenvalues of inequalities of reaction-diffusion type.
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