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.
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Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 356 pp. Englisch. N° de réf. du vendeur 9783030456023
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Gebunden. Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Collects cutting-edge results and techniques for solving nonlinear partial differential equations using critical pointsPresents numerous applications of critical point theory to important problems in mathematics and physics. N° de réf. du vendeur 448682552
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Buch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.Springer Nature c/o IBS, Benzstrasse 21, 48619 Heek 356 pp. Englisch. N° de réf. du vendeur 9783030456023
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