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Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems
This book focuses on nonlinear boundary value problems and the aspects of nonlinear analysis which are necessary to their study. The authors first give a comprehensive introduction to the many different classical methods from nonlinear analysis, variational principles, and Morse theory. They then pr...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York, NY :
Springer New York : Imprint: Springer,
2014.
|
| Edición: | 1st ed. 2014. |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-1-4614-9323-5 | ||
| 003 | DE-He213 | ||
| 005 | 20220119114132.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 131116s2014 xxu| s |||| 0|eng d | ||
| 020 | |a 9781461493235 |9 978-1-4614-9323-5 | ||
| 024 | 7 | |a 10.1007/978-1-4614-9323-5 |2 doi | |
| 050 | 4 | |a QA370-380 | |
| 072 | 7 | |a PBKJ |2 bicssc | |
| 072 | 7 | |a MAT007000 |2 bisacsh | |
| 072 | 7 | |a PBKJ |2 thema | |
| 082 | 0 | 4 | |a 515.35 |2 23 |
| 100 | 1 | |a Motreanu, Dumitru. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems |h [electronic resource] / |c by Dumitru Motreanu, Viorica Venera Motreanu, Nikolaos Papageorgiou. |
| 250 | |a 1st ed. 2014. | ||
| 264 | 1 | |a New York, NY : |b Springer New York : |b Imprint: Springer, |c 2014. | |
| 300 | |a XI, 459 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 505 | 0 | |a Preface -- Introduction -- Sobolev Spaces -- Nonlinear Operators -- Nonsmooth Analysis -- Degree Theory -- Variational Principles and Critical Point Theory -- Morse Theory -- Bifurcation Theory -- Regularity Theorems and Maximum Principles -- Spectrum of Differential Operators -- Ordinary Differential Equations -- Nonlinear Elliptic Equations with Dirichlet Boundary Conditions -- Nonlinear Elliptic Equations with Neumann Boundary Conditions -- List of Symbols -- References.- Index . | |
| 520 | |a This book focuses on nonlinear boundary value problems and the aspects of nonlinear analysis which are necessary to their study. The authors first give a comprehensive introduction to the many different classical methods from nonlinear analysis, variational principles, and Morse theory. They then provide a rigorous and detailed treatment of the relevant areas of nonlinear analysis with new applications to nonlinear boundary value problems for both ordinary and partial differential equations. Recent results on the existence and multiplicity of critical points for both smooth and nonsmooth functional, developments on the degree theory of monotone type operators, nonlinear maximum and comparison principles for p-Laplacian type operators, and new developments on nonlinear Neumann problems involving non-homogeneous differential operator appears for the first time in book form. The presentation is systematic, and an extensive bibliography and a remarks section at the end of each chapter highlight the text. This work will serve as an invaluable reference for researchers working in nonlinear analysis and partial differential equations as well as a useful tool for all those interested in the topics presented. | ||
| 650 | 0 | |a Differential equations. | |
| 650 | 0 | |a Mathematical optimization. | |
| 650 | 0 | |a Calculus of variations. | |
| 650 | 0 | |a Operator theory. | |
| 650 | 0 | |a Global analysis (Mathematics). | |
| 650 | 0 | |a Manifolds (Mathematics). | |
| 650 | 1 | 4 | |a Differential Equations. |
| 650 | 2 | 4 | |a Calculus of Variations and Optimization. |
| 650 | 2 | 4 | |a Operator Theory. |
| 650 | 2 | 4 | |a Global Analysis and Analysis on Manifolds. |
| 700 | 1 | |a Motreanu, Viorica Venera. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Papageorgiou, Nikolaos. |e author. |0 (orcid)0000-0002-2063-2510 |1 https://orcid.org/0000-0002-2063-2510 |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9781461493242 |
| 776 | 0 | 8 | |i Printed edition: |z 9781461493228 |
| 776 | 0 | 8 | |i Printed edition: |z 9781493944743 |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-1-4614-9323-5 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||