Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems - Leszek Gasinski, Nikolaos S. Papageorgiou

Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems

Buch | Hardcover
790 Seiten
2004
Chapman & Hall/CRC (Verlag)
978-1-58488-485-9 (ISBN)
199,50 inkl. MwSt
Offers a complete presentation of the nonsmooth critical point theory and investigates many different classes of boundary value problems, illustrating a variety of general methods. This work includes detailed appendices that provide easy access to the mathematical tools used in the book, and a rich bibliography offers a guide to the literature.
Starting in the early 1980s, people using the tools of nonsmooth analysis developed some remarkable nonsmooth extensions of the existing critical point theory. Until now, however, no one had gathered these tools and results together into a unified, systematic survey of these advances.

This book fills that gap. It provides a complete presentation of nonsmooth critical point theory, then goes beyond it to study nonlinear second order boundary value problems. The authors do not limit their treatment to problems in variational form. They also examine in detail equations driven by the p-Laplacian, its generalizations, and their spectral properties, studying a wide variety of problems and illustrating the powerful tools of modern nonlinear analysis. The presentation includes many recent results, including some that were previously unpublished. Detailed appendices outline the fundamental mathematical tools used in the book, and a rich bibliography forms a guide to the relevant literature.

Most books addressing critical point theory deal only with smooth problems, linear or semilinear problems, or consider only variational methods or the tools of nonlinear operators. Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems offers a comprehensive treatment of the subject that is up-to-date, self-contained, and rich in methods for a wide variety of problems.

Gasinski, Leszek; Papageorgiou, Nikolaos S.

Mathematical Background. Critical Point Theory. Ordinary Differential Equations. Elliptical Equations. Appendices: Set Theory and Topology. Measure Theory. Functional Analysis. Nonlinear Analysis.

Erscheint lt. Verlag 27.7.2004
Reihe/Serie Mathematical Analysis and Applications
Sprache englisch
Maße 156 x 234 mm
Gewicht 1224 g
Themenwelt Mathematik / Informatik Mathematik Analysis
ISBN-10 1-58488-485-1 / 1584884851
ISBN-13 978-1-58488-485-9 / 9781584884859
Zustand Neuware
Haben Sie eine Frage zum Produkt?
Mehr entdecken
aus dem Bereich

von Tilo Arens; Frank Hettlich; Christian Karpfinger …

Buch (2022)
Springer Spektrum (Verlag)
79,99