Degree and global bifurcation for elliptic equations with multivalued unilateral conditions

DOI10.1016/j.na.2005.07.021zbMath1111.47055OpenAlexW1987823693WikidataQ57363430 ScholiaQ57363430MaRDI QIDQ2492465

Jan Eisner, Martin Väth, Milan Kučera

Publication date: 9 June 2006

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.2005.07.021

zbMATH Keywords

Laplace operatordegreeglobal bifurcationelliptic equationinclusionmultivalued boundary value problem

Mathematics Subject Classification ID

Degree theory for nonlinear operators (47H11) Applications of operator theory to differential and integral equations (47N20) Abstract bifurcation theory involving nonlinear operators (47J15) Bifurcations in context of PDEs (35B32)

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Bifurcation points for a reaction-diffusion system with two inequalities ⋮ Merging of degree and index theory ⋮ 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 ⋮ Continuity and differentiability of multivalued superposition operators with atoms and parameters. I. ⋮ A global bifurcation for nonlinear inclusions ⋮ Global bifurcation for quasivariational inequalities of reaction-diffusion type ⋮ Bifurcation for a reaction-diffusion system with unilateral and Neumann boundary conditions ⋮ Continuity, compactness, and degree theory for operators in systems involving \(p\)-Laplacians and inclusions ⋮ Global bifurcation for generalized \(k\)-set contractions ⋮ 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 ⋮ Global solution branches and a topological implicit function theorem ⋮ New beams of global bifurcation points for a reaction-diffusion system with inequalities or inclusions

Cites Work

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