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Field name	Details
Dewey Class	519.6
Title	Critical Point Theory ([EBook]) : Sandwich and Linking Systems / by Martin Schechter.
Author	Schechter, Martin
Other name(s)	SpringerLink (Online service)
Publication	Cham : Springer International Publishing , 2020.
Physical Details	XXXVI, 320 p. 1 illus. : online resource.
ISBN	9783030456030
Summary Note	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.:
Contents note	Preface -- Linking Systems -- Sandwich Systems -- Linking Sandwich Sets -- The Monotonicity Trick -- Infinite Dimensional Linking -- Differential Equations -- Schrödinger Equations -- Zero in the Spectrum -- Global Solutions -- Second Order Hamiltonian Systems -- Core Functions -- Custom Monotonicity Methods -- Elliptic Systems -- Flows and Critical Points -- The Semilinear Wave Equation -- Nonlinear Optics -- Radially Symmetric Wave Equations -- Multiple Solutions.
Mode of acces to digital resource	Digital book. Cham Springer Nature 2020. - Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.1007/978-3-030-45603-0
Links to Related Works	Subject References: Analysis . Analysis (Mathematics) . Global analysis (Mathematics) . Manifolds (Mathematics) . Mathematical analysis . Mathematical optimization . Operator Theory . Optimization . Authors: author . Schechter, Martin . Corporate Authors: SpringerLink (Online service) . Classification: 519.6 . 519.6 (DDC 23) .

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Critical Point Theory: Sandwich and Linking Systems

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