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Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems
Af: Leszek Gasinski, Nikolaos S. Papageorgiou Engelsk Paperback
SPAR
kr 98
Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems
Af: Leszek Gasinski, Nikolaos S. Papageorgiou Engelsk Paperback
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 The presentation includes many recent results, including some that were previously unpublished.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.
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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.
Produktdetaljer
Sprog: Engelsk
Sider: 790
ISBN-13: 9780367394059
Indbinding: Paperback
Udgave:
ISBN-10: 0367394057
Udg. Dato: 23 okt 2019
Længde: 0mm
Bredde: 234mm
Højde: 156mm
Oplagsdato: 23 okt 2019
Forfatter(e) Leszek Gasinski, Nikolaos S. Papageorgiou


Kategori Differentialregning & ligninger


Sprog Engelsk


Indbinding Paperback


Sider 790


Udgave


Længde 0mm


Bredde 234mm


Højde 156mm

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