Isbn: 9783540573784 - topological methods for variational problems with symmetries (lecture notes in mathematics, 1560, band 1560) (7 Ergebnisse)

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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Symmetry has a strong impact on the number and shape ofsolutions to variational problems. This has been observed,for instance, in the search for periodic solutions ofHamiltonian systems or of the nonlinear wave equation; whenone is interested in elliptic equations on symmetric domainsor in the corresponding semiflows; and when one is lookingfor 'special' solutions of these problems.This book is concerned with Lusternik-Schnirelmann theoryand Morse-Conley theory for group invariant functionals.These topological methods are developed in detail with newcalculations of the equivariant Lusternik-Schnirelmanncategory and versions of the Borsuk-Ulam theorem for verygeneral classes of symmetry groups. The Morse-Conley theoryis applied to bifurcation problems, in particular to thebifurcation of steady states and hetero-clinic orbits ofO(3)-symmetric flows; and to the existence of periodicsolutions nearequilibria of symmetric Hamiltonian systems.Some familiarity with the usualminimax theory and basicalgebraic topology is assumed. …

X, 152 Seiten, Format 15,5 x 23,5 cm, originalkartonierter u. mattkaschierter Einband (Lecture Notes in Mathematics, Vol. 1560). * Zweite ISBN: 0-387--57378-X. References + Index auf den Seiten 142-152. Erhaltung: Auf dem Titel-Vorblatt als Mängel-Exemplar gestempelt (M im Kreis). Ein echter Mangel ist aber nicht zu entdecken. Insgesamt sehr gut erhalten. [Eine größere Sammlung Physik, Mathematik, Astronomie und verwandte Gebiete wird derzeit in den Bestand eingearbeitet. Sie finden diese Titel bei uns in den gleichnamigen Rubriken]. Sprache: Englisch.…

Zustand: Gut. Zustand: Gut | Sprache: Englisch | Produktart: Bücher | Symmetry has a strong impact on the number and shape ofsolutions to variational problems. This has been observed,for instance, in the search for periodic solutions ofHamiltonian systems or of the nonlinear wave equation; whenone is interested in elliptic equations on symmetric domainsor in the corresponding semiflows; and when one is lookingfor "special" solutions of these problems.This book is concerned with Lusternik-Schnirelmann theoryand Morse-Conley theory for group invariant functionals.These topological methods are developed in detail with newcalculations of the equivariant Lusternik-Schnirelmanncategory and versions of the Borsuk-Ulam theorem for verygeneral classes of symmetry groups. The Morse-Conley theoryis applied to bifurcation problems, in particular to thebifurcation of steady states and hetero-clinic orbits ofO(3)-symmetric flows; and to the existence of periodicsolutions nearequilibria of symmetric Hamiltonian systems.Some familiarity with the usualminimax theory and basicalgebraic topology is assumed.…