Global bifurcation for a reaction-diffusion system with inclusions

DOI10.4171/ZAA/1390zbMath1182.35025MaRDI QIDQ1048739

Martin Väth, Jan Eisner, Milan Kučera

Publication date: 8 January 2010

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: http://www.ems-ph.org/journals/show_abstract.php?issn=0232-2064&vol=28&iss=4&rank=1

zbMATH Keywords

Laplace operatordegreestationary solutionsinclusionunilateral conditionsDirichlet-Neumann boundary condition

Mathematics Subject Classification ID

Degree theory for nonlinear operators (47H11) Bifurcations in context of PDEs (35B32) Unilateral problems for nonlinear elliptic equations and variational inequalities with nonlinear elliptic operators (35J87) Semilinear elliptic equations (35J61) Boundary value problems for second-order elliptic systems (35J57)

Related Items (11)

A variational approach to bifurcation points of a reaction-diffusion system with obstacles and Neumann boundary conditions. ⋮ Degree, instability and bifurcation of reaction-diffusion systems with obstacles near certain hyperbolas ⋮ Bifurcation points for a reaction-diffusion system with two inequalities ⋮ Eigenvalues and bifurcation for problems with positively homogeneous operators and reaction-diffusion systems with unilateral terms ⋮ Bifurcation for a reaction-diffusion system with unilateral obstacles with pointwise and integral conditions ⋮ Continuity and differentiability of multivalued superposition operators with atoms and parameters. II ⋮ A variational approach to bifurcation in reaction-diffusion systems with Signorini type boundary conditions. ⋮ Calculation of degree and global bifurcation for variational inequalities with nonsymmetric operators in Banach spaces ⋮ Continuity and differentiability of multivalued superposition operators with atoms and parameters. I. ⋮ Bifurcation for a reaction-diffusion system with unilateral and Neumann boundary conditions ⋮ Bifurcation in skew-symmetric reaction-diffusion systems with unilateral terms

Cites Work

• Pattern sensitivity to boundary and initial conditions in reaction- diffusion models
• TOPOLOGICAL METHODS IN THE FIXED-POINT THEORY OF MULTI-VALUED MAPS
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