Global solution branches and a topological implicit function theorem

DOI10.1007/s10231-005-0001-yzbMath1150.58006OpenAlexW2151338533WikidataQ57363418 ScholiaQ57363418MaRDI QIDQ996930

Martin Väth

Publication date: 19 July 2007

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-005-0001-y

zbMATH Keywords

Continua of solution branchesGlobal bifurcationImplicit function theoremPerturbation of equation

Mathematics Subject Classification ID

Abstract bifurcation theory involving nonlinear operators (47J15) Bifurcations in context of PDEs (35B32) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07)

Related Items (13)

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 ⋮ Multiplicity for a strongly singular quasilinear problem via bifurcation theory ⋮ Bifurcation for a reaction-diffusion system with unilateral obstacles with pointwise and integral conditions ⋮ Global solution branches for equations involving nonhomogeneous operators of \(p\)-Laplace type ⋮ Calculation of degree and global bifurcation for variational inequalities with nonsymmetric operators in Banach spaces ⋮ 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 ⋮ Degree and global bifurcation for elliptic equations with multivalued unilateral conditions ⋮ New beams of global bifurcation points for a reaction-diffusion system with inequalities or inclusions ⋮ Continuums of positive solutions for classes of non-autonomous and non-local problems with strong singular term

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