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Critical point theory = sandwich and...

Schechter, Martin.

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Critical point theory = sandwich and linking systems /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Critical point theory/ by Martin Schechter.
Reminder of title:	sandwich and linking systems /
Author:	Schechter, Martin.
Published:	Cham :Springer International Publishing : : 2020.,
Description:	xxxvi, 320 p. :ill., digital ;24 cm.
[NT 15003449]:	Preface -- Linking Systems -- Sandwich Systems -- Linking Sandwich Sets -- The Monotonicity Trick -- Infinite Dimensional Linking -- Differential Equations -- Schrodinger 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.
Contained By:	Springer eBooks
Subject:	Critical point theory (Mathematical analysis) -
Online resource:	https://doi.org/10.1007/978-3-030-45603-0
ISBN:	9783030456030

Critical point theory = sandwich and linking systems /
Schechter, Martin.

Critical point theorysandwich and linking systems /[electronic resource] :by Martin Schechter. - Cham :Springer International Publishing :2020. - xxxvi, 320 p. :ill., digital ;24 cm.

Preface -- Linking Systems -- Sandwich Systems -- Linking Sandwich Sets -- The Monotonicity Trick -- Infinite Dimensional Linking -- Differential Equations -- Schrodinger 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.

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 Schrodinger 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.

ISBN: 9783030456030

Standard No.: 10.1007/978-3-030-45603-0doiSubjects--Topical Terms:

672100
Critical point theory (Mathematical analysis)

LC Class. No.: QA614.7 / .S343 2020

Dewey Class. No.: 515.64

Critical point theory = sandwich and linking systems /
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100 1 $a Schechter, Martin. $3 596166
245 1 0 $a Critical point theory $h [electronic resource] : $b sandwich and linking systems / $c by Martin Schechter.
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhauser, $c 2020.
300 $a xxxvi, 320 p. : $b ill., digital ; $c 24 cm.
505 0 $a Preface -- Linking Systems -- Sandwich Systems -- Linking Sandwich Sets -- The Monotonicity Trick -- Infinite Dimensional Linking -- Differential Equations -- Schrodinger 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.
520 $a 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 Schrodinger 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.
650 0 $a Critical point theory (Mathematical analysis) $3 672100
650 1 4 $a Optimization. $3 891104
650 2 4 $a Operator Theory. $3 897311
650 2 4 $a Global Analysis and Analysis on Manifolds. $3 891107
650 2 4 $a Analysis. $3 891106
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