Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems
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A01=Leszek Gasinski
A01=Nikolaos S. Papageorgiou
advanced topology concepts
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applied mathematical analysis
Author_Leszek Gasinski
Author_Nikolaos S. Papageorgiou
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Category1=Non-Fiction
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functional analysis
graduate mathematics text
Language_English
measure theory applications
nonlinear elliptic equation solutions
nonlinear operator theory
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Product details
- ISBN 9780367394059
- Weight: 1460g
- Dimensions: 156 x 234mm
- Publication Date: 23 Oct 2019
- Publisher: Taylor & Francis Ltd
- Publication City/Country: GB
- Product Form: Paperback
- Language: English
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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 The presentation includes many recent results, including some that were previously unpublished.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.
