Martin Schechter
Critical Point Theory: Sandwich and Linking Systems
Critical Point Theory: Sandwich and Linking Systems
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This monograph presents cutting-edge results and techniques for solving nonlinear partial differential equations using critical points,with applications to mathematics and physics. It is ideal for graduate students and researchers,requiring an understanding of fundamental mathematical analysis.
Format: Paperback / softback
Length: 320 pages
Publication date: 30 May 2021
Publisher: Springer Nature Switzerland AG
This monograph presents cutting-edge results and techniques for solving nonlinear partial differential equations (PDEs) using critical points. Including numerous contributions from the authors themselves, a comprehensive range of proofs is conveniently collected in this volume. The rigorous approach adopted makes it an invaluable resource for exploring recent developments in this active area of research, as well as the numerous applications of critical point theory.
The first six chapters focus on various methods for finding critical points, with detailed explanations of their specific applications. The subsequent chapters delve into the books main subject: applications to problems in mathematics and physics. These include topics such as Schrödinger equations, Hamiltonian systems, elliptic systems, nonlinear wave equations, nonlinear optics, semilinear PDEs, boundary value problems, and equations with multiple solutions.
The applications are presented in a convenient and thorough manner, with detailed proofs appearing throughout. This book will be particularly useful for graduate students and researchers interested in solving differential equations, as well as those studying variational methods. An understanding of fundamental mathematical analysis, including the basic properties of Hilbert and Banach spaces, is assumed.
In conclusion, Critical Point Theory is a comprehensive and authoritative guide to solving nonlinear PDEs using critical points. With its extensive coverage of methods, applications, and proofs, it will serve as a valuable resource for researchers and students in the field.
Weight: 545g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030456054
Edition number: 1st ed. 2020
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