Minimax systems and critical point theory
Many problems in science and engineering involve the solution of differential equations or systems. One of most successful methods of solving nonlinear equations is the determination of critical points of corresponding functionals. The study of critical points has grown rapidly in recent years and h...
Tallennettuna:
| Päätekijä: | |
|---|---|
| Aineistotyyppi: | Livre numérique |
| Kieli: | Anglais |
| Julkaistu: |
Boston :
Birkhäuser Boston : Springer e-books
[20..].
Cham : Springer Nature |
| Linkit: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Huomautus: |
Description d'après consultation du 02 mars 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Minimax systems and critical point theory, Martin Schechter, 2009, Boston, Birkhäuser, 1 vol. (XIV-239 p.), 978-0-8176-4805-3 |
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| 100 | 1 | |a Schechter, Martin, |d 1930-2021. | |
| 245 | 1 | 0 | |a Minimax systems and critical point theory |c by Martin Schechter. |
| 260 | |a Boston : |b Birkhäuser Boston : |b Springer e-books. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 500 | |a Description d'après consultation du 02 mars 2012 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a Critical Points of Functionals Minimax Systems Examples of Minimax Systems Ordinary Differential Equations The Method Using Flows Finding Linking Sets Sandwich Pairs Semilinear Problems Superlinear Problems Weak Linking Fu#x010D;#x00ED;k Spectrum: Resonance Rotationally Invariant Solutions Semilinear Wave Equations Type (II) Regions Weak Sandwich Pairs Multiple Solutions Second-Order Periodic Systems | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a Many problems in science and engineering involve the solution of differential equations or systems. One of most successful methods of solving nonlinear equations is the determination of critical points of corresponding functionals. The study of critical points has grown rapidly in recent years and has led to new applications in other scientific disciplines. This monograph continues this theme and studies new results discovered since the author's preceding book entitled Linking Methods in Critical Point Theory. Written in a clear, sequential exposition, topics include semilinear problems, Fucik spectrum, multidimensional nonlinear wave equations, elliptic systems, and sandwich pairs, among others. With numerous examples and applications, this book explains the fundamental importance of minimax systems and describes how linking methods fit into the framework. Minimax Systems and Critical Point Theory is accessible to graduate students with some background in functional analysis, and the new material makes this book a useful reference for researchers and mathematicians. Review of the author's previous Birkhäuser work, Linking Methods in Critical Point Theory: The applications of the abstract theory are to the existence of (nontrivial) weak solutions of semilinear elliptic boundary value problems for partial differential equations, written in the form Au = f(x, u). . . . The author essentially shows how his methods can be applied whenever the nonlinearity has sublinear growth, and the associated functional may increase at a certain rate in every direction of the underlying space. This provides an elementary approach to such problems. . . . A clear overview of the contents of the book is presented in the first chapter, while bibliographical comments and variant results are described in the last one. MathSciNet | ||
| 760 | 0 | |t Mathematics and Statistics | |
| 776 | 0 | |0 145483339 |t Minimax systems and critical point theory |f Martin Schechter |d 2009 |c Boston |n Birkhäuser |p 1 vol. (XIV-239 p.) |z 978-0-8176-4805-3 | |
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