Variational, Topological, and Partial Order Methods with Their Applications (Hardcover)

Zhitao Zhang

ISBN 10: 3642307086 / ISBN 13: 9783642307089

Verlag: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Berlin, 2012

Beschreibung

Hardcover. Nonlinear functional analysis is an important branch of contemporary mathematics. It's related to topology, ordinary differential equations, partial differential equations, groups, dynamical systems, differential geometry, measure theory, and more. In this book, the author presents some new and interesting results on fundamental methods in nonlinear functional analysis, namely variational, topological and partial order methods, which have been used extensively to solve existence of solutions for elliptic equations, wave equations, Schroedinger equations, Hamiltonian systems etc., and are also used to study the existence of multiple solutions and properties of solutions. This book is useful for researchers and graduate students in the field of nonlinear functional analysis. Covering leading-edge research, and with a focus on new developments in non-linear functional analysis, this is a vital addition to the literature that details theory as well as applications, providing relevant academics with a trusty guide to the field. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Bestandsnummer des Verkäufers 9783642307089

Bibliografische Details

• Titel: Variational, Topological, and Partial Order Methods with Their Applications (Hardcover)
• Verlag: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, Berlin
• Erscheinungsjahr: 2012
• Sprache: Englisch
• ISBN-10: 3642307086
• ISBN-13: 9783642307089
• Einband: Hardcover
• Zustand: new

Über diesen Titel

Inhaltsangabe

Nonlinear functional analysis is an important branch of contemporary mathematics. It’s related to topology, ordinary differential equations, partial differential equations, groups, dynamical systems, differential geometry, measure theory, and more. In this book, the author presents some new and interesting results on fundamental methods in nonlinear functional analysis, namely variational, topological and partial order methods, which have been used extensively to solve existence of solutions for elliptic equations, wave equations, Schrödinger equations, Hamiltonian systems etc., and are also used to study the existence of multiple solutions and properties of solutions. This book is useful for researchers and graduate students in the field of nonlinear functional analysis.

Über die Autorin bzw. den Autor

Zhitao Zhang is a professor at Academy of Mathematics and Systems Science. He was a Humboldt Research Fellow at Giessen University from June 2004 to June 2006. In 2011, he received a excellent advisor award of the Chinese Academy of Sciences. He mainly studies Nonlinear Analysis, Partial differential equations, Integral equations etc. He has published almost 50 papers in very important international journals such as Ann. Inst. H. Poincare Anal. Non Lineaire, J. Funct. Anal., Transactions of American Mathematical Society, J. Differential Equations etc. He has invited to write Chapter 13 for the Handbook of Nonconvex Analysis and Applications, International Press, 2010. His researches have been supported by Key program of National Natural Foundation of China. His papers have been cited by others more than 500 times. He was invited many times to present lectures at important international conferences.