Counting Zeros of C 1 Fredholm Maps of Index 1

DOI10.1112/S0024609305004716zbMath1086.47039OpenAlexW2414562351MaRDI QIDQ5714518

Carlos Mora-Corral, Julián López-Gómez

Publication date: 3 January 2006

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0024609305004716

zbMATH Keywords

number of solutionstopological degreecomponentalgebraic multiplicitysign jump\(C^1\) Fredholm maps of index 1

Mathematics Subject Classification ID

Degree theory for nonlinear operators (47H11) Fixed-point theorems on manifolds (58C30) (Semi-) Fredholm operators; index theories (47A53) Fredholm structures on infinite-dimensional manifolds (58B15) Abstract bifurcation theory involving nonlinear operators (47J15) Spectral theory; eigenvalue problems on manifolds (58C40)

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