Bifurcation of Fredholm Maps II; The Dimension of the Set of Bifurcation Points

2010/05/18 by Jacobo Pejsachowicz, Pejsachowicz, Jacobo
Mathematics · #47A53 #55N15 #58E07 (Primary) #58J20 (Secondary) #58J32 #58J55 #Algebraic Topology (math.AT) #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #Differential Equations and Numerical Methods #Differential Geometry (math.DG) #FOS: Mathematics #Nonlinear Differential Equations Analysis #math.AP #math.AT #math.DG #msc:47A53 #msc:55N15 #msc:58E07 #msc:58J20 #msc:58J32 #msc:58J55

paper · pdf · doi:10.48550/arxiv.1005.3246

15 pages, corrected typos, minor changes; La Matematica e le sue Applicazioni N5(2010). To appear on TMNA

openalex publication_date 2010/05/18 · arxiv created 2011/09/12 · arxiv updated 2011/09/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We obtain an estimate for the covering dimension of the set of bifurcation points for solutions of nonlinear elliptic boundary value problems from the principal symbol of the linearization of the problem along the trivial branch of solutions.

Citations

• Bifurcation of Fredholm Maps I; The Index Bundle and Bifurcation

Related

• Bifurcation of Fredholm Maps I; The Index Bundle and Bifurcation
• A Remark on Bifurcation of Fredholm Maps
• Bifurcation Theory for Fredholm Operators
• Classification of bifurcation diagrams for semilinear elliptic equations in the critical dimension
• Bifurcation of sign-changing solutions for an overdetermined boundary problem in bounded domains