Critical Point Theory (eBook)

Sandwich and Linking Systems

Martin Schechter (Autor)

eBook Download: PDF

2020 | 1st ed. 2020
XXXVI, 320 Seiten
Springer International Publishing (Verlag)
978-3-030-45603-0 (ISBN)

Infos

This monograph collects cutting-edge results and techniques for solving nonlinear partial differential equations using critical points. Including many of the author's own contributions, a range of proofs are conveniently collected here, Because the material is approached with rigor, this book will serve as an invaluable resource for exploring recent developments in this active area of research, as well as the numerous ways in which critical point theory can be applied.

Different methods for finding critical points are presented in the first six chapters. The specific situations in which these methods are applicable is explained in detail. Focus then shifts toward the book's 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. Readers will find this collection of applications convenient and thorough, with detailed proofs appearing throughout.

Critical Point Theory will be ideal for graduate students and researchers interested in solving differential equations, and for those studying variational methods. An understanding of fundamental mathematical analysis is assumed. In particular, the basic properties of Hilbert and Banach spaces are used.

Produkt-Details

• Erscheint lt. Verlag: 30.5.2020
• Zusatzinfo: XXXVI, 320 p. 1 illus.
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik
• Schlagworte: Critical point calculus • critical point theory • Critical point theory applications • Elliptic systems • Hamiltonian systems • Infinite dimensional linking • Minimax systems • monotonicity • Saddle point theory • Sandwich pairs • Sandwich sets • Sandwich systems • Schrodinger equation • Semilinear differential equations • Semilinear differential systems • Semilinear partial differential equations • Semilinear wave equation • variational methods • Variational methods mathematical physics • weak solutions
• ISBN-10: 3-030-45603-X / 303045603X
• ISBN-13: 978-3-030-45603-0 / 9783030456030