Degree, instability and bifurcation of reaction-diffusion systems with obstacles near certain hyperbolas

DOI10.1016/j.na.2016.01.006zbMath1386.35160OpenAlexW2287281893WikidataQ57363314 ScholiaQ57363314MaRDI QIDQ265561

Martin Väth, Jan Eisner

Publication date: 4 April 2016

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.2016.01.006

zbMATH Keywords

variational inequalityreaction-diffusion systemNeumann boundary conditiontopological degreeglobal bifurcationstationary solutionSignorini conditionTuring instabilitymultivalued mapunilateral obstacle

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Reaction-diffusion equations (35K57) Set-valued operators (47H04) Nonlinear elliptic equations (35J60) Degree theory for nonlinear operators (47H11) Bifurcations in context of PDEs (35B32) Initial-boundary value problems for second-order parabolic systems (35K51) Unilateral problems for elliptic systems and systems of variational inequalities with elliptic operators (35J88)

Related Items (1)

Some Crandall-Rabinowitz type results and applications to reaction-diffusion systems

Cites Work

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