[Developments in Mathematics] Variational, Topological, and Partial Order Methods with Their Applications Volume 29 || Free Boundary Problems, System of Equations for Bose–Einstein Condensate and Competing Species

✍ Scribed by Zhang, Zhitao

• Book ID: 120406791
• Publisher: Springer Berlin Heidelberg
• Year: 2012
• Tongue: German
• Weight: 429 KB
• Edition: 1st
• Category: Article
• ISBN: 3642307094
• DOI: 10.1007/978-3-642-30709-6_11

✦ Synopsis

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.