Nonlinear Analysis - Theory and Methods
tarafından
Papageorgiou, Nikolaos S. author. (orcid)0000-0002-2063-2510
Başlık
:
Nonlinear Analysis - Theory and Methods
Yazar
:
Papageorgiou, Nikolaos S. author. (orcid)0000-0002-2063-2510
ISBN
:
9783030034306
Yazar
:
Papageorgiou, Nikolaos S. author.
Edisyon
:
1st ed. 2019.
Fiziksel Niteleme
:
XI, 577 p. online resource.
Seri
:
Springer Monographs in Mathematics,
İçindekiler
:
Preface -- 1.Sobolev Spaces -- 2.Compact Operators and Operators of Monotone Type -- 3.Degree Theories -- 4.Partial Order, Fixed Point Theory, Variational Pronciples -- 5.Critical Point Theory -- 6.Morse Theory and Critical Groups -- References -- Index.
Özet
:
This book emphasizes those basic abstract methods and theories that are useful in the study of nonlinear boundary value problems. The content is developed over six chapters, providing a thorough introduction to the techniques used in the variational and topological analysis of nonlinear boundary value problems described by stationary differential operators. The authors give a systematic treatment of the basic mathematical theory and constructive methods for these classes of nonlinear equations as well as their applications to various processes arising in the applied sciences. They show how these diverse topics are connected to other important parts of mathematics, including topology, functional analysis, mathematical physics, and potential theory. Throughout the book a nice balance is maintained between rigorous mathematics and physical applications. The primary readership includes graduate students and researchers in pure and applied nonlinear analysis.
Konu Başlığı
:
Partial differential equations.
Mathematical physics.
Functional analysis.
Global analysis (Mathematics).
Manifolds (Mathematics).
Calculus of variations.
Partial Differential Equations. https://scigraph.springernature.com/ontologies/product-market-codes/M12155
Mathematical Physics. https://scigraph.springernature.com/ontologies/product-market-codes/M35000
Functional Analysis. https://scigraph.springernature.com/ontologies/product-market-codes/M12066
Global Analysis and Analysis on Manifolds. https://scigraph.springernature.com/ontologies/product-market-codes/M12082
Calculus of Variations and Optimal Control; Optimization. https://scigraph.springernature.com/ontologies/product-market-codes/M26016
Mathematical Applications in the Physical Sciences. https://scigraph.springernature.com/ontologies/product-market-codes/M13120
Yazar Ek Girişi
:
Rădulescu, Vicenţiu D.
Repovš, Dušan D.
Ek Kurum Yazar
:
SpringerLink (Online service)
Elektronik Erişim
:
Materyal Türü | Barkod | Yer Numarası | Durumu/İade Tarihi |
---|
Electronic Book | 428570-1001 | QA370 -380 | Springer E-Book Collection |