On the exact number of bifurcation branches from a multiple eigenvalue

2005/09/01 by Dimitri Mugnai, Angela Pistoia, Mugnai, Dimitri +1
Computer Science · Mathematics · #35B32 #35J20 #35J60 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Differential Equations Analysis #Nonlinear Partial Differential Equations #math.AP #msc:35B32 #msc:35J20 #msc:35J60

paper · pdf · doi:10.48550/arxiv.math/0509013

24 pages

arxiv created 2005/09/01 · openalex publication_date 2005/09/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study local bifurcation from an eigenvalue with multiplicity greater than one for a class of semilinear elliptic equations. We evaluate the exact number of bifurcation branches of non trivial solutions and we compute the Morse index of the solutions in those branches.

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