An Introduction to Nonlinear Functional Analysis and Elliptic Problems: 82 (Progress in Nonlinear Differential Equations and Their Applications, 82) - Tapa dura

Libro 38 de 53: Progress in Nonlinear Differential Equations and Their Applications

Ambrosetti, Antonio; Arcoya Álvarez, David

 
9780817681135: An Introduction to Nonlinear Functional Analysis and Elliptic Problems: 82 (Progress in Nonlinear Differential Equations and Their Applications, 82)
Tapa dura
ISBN 10: 0817681132 ISBN 13: 9780817681135
Editorial: Birkhäuser, 2011

Sinopsis

Notation.- Preliminaries.- Some Fixed Point Theorems.- Local and Global Inversion Theorems.- Leray-Schauder Topological Degree.- An Outline of Critical Points.- Bifurcation Theory.- Elliptic Problems and Functional Analysis.- Problems with A Priori Bounds.- Asymptotically Linear Problems.- Asymmetric Nonlinearities.- Superlinear Problems.- Quasilinear Problems.- Stationary States of Evolution Equations.- Appendix A Sobolev Spaces.- Exercises.- Index.- Bibliography.

"Sinopsis" puede pertenecer a otra edición de este libro.

Acerca del autor

Both authors are leading experts in this area of mathematics. Antonio Ambrosetti has been at the very forefront of research in this field for forty years, and several of the major topics from Parts 1 and 2 of the book are drawn from his research.

De la contraportada

<p>This self-contained textbook provides the basic, abstract tools used in nonlinear analysis and their applications to semilinear elliptic boundary value problems. By first outlining the advantages and disadvantages of each method, this comprehensive text displays how various approaches can easily be applied to a range of model cases.</p><p><i>An Introduction to Nonlinear Functional Analysis and Elliptic Problems</i> is divided into two parts: the first discusses key results such as the Banach contraction principle, a fixed point theorem for increasing operators, local and global inversion theory, Leray–Schauder degree, critical point theory, and bifurcation theory; the second part shows how these abstract results apply to Dirichlet elliptic boundary value problems.  The exposition is driven by numerous prototype problems and exposes a variety of approaches to solving them.</p><p>Complete with a preliminary chapter, an appendix that includes further results on weak derivatives, and chapter-by-chapter exercises, this book is a practical text for an introductory course or seminar on nonlinear functional analysis.</p>

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Birkhäuser
Año de publicación
2011
Idioma
Inglés
ISBN 10 
0817681132
ISBN 13 
9780817681135
Encuadernación
Tapa dura
Número de páginas
212
Contacto del fabricante
Springer Nature Customer Service Center GmbH
ProductSafety@springernature.com

Europaplatz 3,69115 Heidelberg, Germany
Heidelberg
69115
Alemania

Otras ediciones populares con el mismo título

9780817681159: An Introduction to Nonlinear Functional Analysis and Elliptic Problems

Edición Destacada

ISBN 10:  0817681159 ISBN 13:  9780817681159
Editorial: Birkhäuser, 2011
Tapa blanda