A variational approach to bifurcation points of a reaction-diffusion system with obstacles and Neumann boundary conditions.

DOI10.1007/s10492-016-0119-9zbMath1389.35047OpenAlexW2292068347WikidataQ57363320 ScholiaQ57363320MaRDI QIDQ265143

Jan Eisner, Martin Väth, Milan Kučera

Publication date: 1 April 2016

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10338.dmlcz/144807

zbMATH Keywords

variational inequalityreaction-diffusion systemvariational approachspatial patternslocal bifurcationTuring instabilityunilateral condition

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Reaction-diffusion equations (35K57) Variational methods for elliptic systems (35J50) Bifurcations in context of PDEs (35B32) Boundary value problems for second-order elliptic systems (35J57)

Related Items

Some Crandall-Rabinowitz type results and applications to reaction-diffusion systems ⋮ Eigenvalues and bifurcation for problems with positively homogeneous operators and reaction-diffusion systems with unilateral terms ⋮ Bifurcation in skew-symmetric reaction-diffusion systems with unilateral terms

Cites Work

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• A variational approach to bifurcation in reaction-diffusion systems with Signorini type boundary conditions.
• Smooth bifurcation branches of solutions for a Signorini problem
• Bifurcation for a reaction-diffusion system with unilateral and Neumann boundary conditions
• Direction and stability of bifurcation branches for variational inequalities
• Bifurcation points for a reaction-diffusion system with two inequalities
• New beams of global bifurcation points for a reaction-diffusion system with inequalities or inclusions
• Global bifurcation for a reaction-diffusion system with inclusions
• Smooth bifurcation for variational inequalities based on the implicit function theorem
• Location of Bifurcation Points for a Reaction-Diffusion System with Neumann-Signorini Conditions
• Reaction-diffusion systems: stabilizing effect of conditions described by quasivariational inequalities
• Bifurcation points and eigenvalues of inequalities of reaction-diffusion type.
• Critical and bifurcation points of reaction-diffusion systems with conditions given by inclusions

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