Der Artikel ist weiterhin als ^^OTHERCONDITION^^ verfügbar.
Autor: Vieri Benci
ISBN-13: 9783319361222
Einband: Previously published in hardcover
Seiten: 253
Format: 284x235x16 mm
Sprache: Englisch

Variational Methods in Nonlinear Field Equations

Springer Monographs in Mathematics
Solitary Waves, Hylomorphic Solitons and Vortices
1 The general principles.- 2 Solitary waves and solitons: abstract theory.- 3 The nonlinear Schrödinger equation.- 4 The nonlinear Klein-Gordon equation.- 5 The Nonlinear Klein-Gordon-Maxwell equations.- 6 The nonlinear Schrödinger-Maxwell equations.- 7 The nonlinear beam equation.- 8 Vortices.- 9 Appendix.
The book analyzes the existence of solitons, namely of finite energy solutions of field equations which exhibit stability properties. The book is divided in two parts. In the first part, the authors give an abstract definition of solitary wave and soliton and we develop an abstract existence theory for hylomorphic solitons, namely for those solitons which minimize the energy for a given charge. In the second part, the authors apply this theory to prove the existence of hylomorphic solitons for some classes of field equations (nonlinear Klein-Gordon-Maxwell equations, nonlinear Schrödinger-Maxwell equations, nonlinear beam equation,..). The abstract theory is sufficiently flexible to be applied to other situations, like the existence of vortices. The books is addressed to Mathematicians and Physicists.
Autor: Vieri Benci
ISBN-13:: 9783319361222
ISBN: 3319361228
Verlag: Springer, Berlin, Springer International Publishing, Springer
Seiten: 253
Sprache: Englisch
Auflage Softcover reprint of the original 1st ed. 2014
Sonstiges: Taschenbuch, 284x235x16 mm