Connected Sets in Global Bifurcation Theory

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Springer

Paru le : 2025-04-29

This book explores the topological properties of connected and path-connected solution sets for nonlinear equations in Banach spaces, focusing on the distinction between these concepts. Building on Rabinowitz's dichotomy and classical results on Peano continua, the authors introduce "congestion poin...
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Éditeur

Collection
n.c

Parution
2025-04-29

Pages
101 pages

EAN papier
9783031870507

Auteur(s) du livre


Boris Buffoni works at the Institute of Mathematics at EPFL (Ecole Polytechnique Fédérale de Lausanne, Switzerland), where he has taught since 1998. His doctorate, under the supervision of Charles Stuart at EPFL, focused on nonlinear problems in the presence of  essential spectrum. He was a postdoctoral researcher at the University of Bath and the Scuola Normale Superiore in Pisa, and, from 1995 to 1998,  a lecturer at the University of Bath. His  research interests include calculus of variations, bifurcation theory, partial differential equations and applications to hydrodynamics. He is currently a senior scientist at EPFL. John Toland is Emeritus Professor of Mathematics at the University of Bath where he was professor for 32 years before being appointed Director of the Isaac Newton Institute in Cambridge. His PhD, under the supervision of Charles Stuart at Sussex University,  was on global bifurcation theory for k-set-contractions after which, with collaborators, he  developed topological methods  to prove the existence of large amplitude solitary waves, including the famous singular Stokes-wave-of-greatest-height. Since then he has developed aspects of convex analysis, harmonic analysis, duality theory, Nash-Moser theory and variational methods, to address nonlinear problems arising in applications.

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EAN PDF
9783031870514
Prix
52,74 €
Nombre pages copiables
1
Nombre pages imprimables
10
Taille du fichier
3533 Ko
EAN EPUB
9783031870514
Prix
52,74 €
Nombre pages copiables
1
Nombre pages imprimables
10
Taille du fichier
9196 Ko

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