This volume focuses on topics in nonlinear analysis pertinent to the theory of boundary value problems and their application in areas such as control theory and the calculus of variations. It complements the many other books on nonlinear analysis by addressing topics previously discussed fully only in scattered research papers. These include recent results on critical point theory, nonlinear differential operators, and related regularity and comparison principles. The rich variety of topics, both theoretical and applied, make Nonlinear Analysis useful to a broad audience. An appendix contains the background material needed, and a detailed bibliography forms a guide for further study.
• Mathematical Analysis and Applications
Mathematical Analysis
Mathematics & Statistics for Engineers
Applied Mathematics
Reference
Professional

Many important developments in nonsmooth critical point theory and in the analysis of nonlinear boundary value problems have emerged in the past 15 years, but to date, no book provides a survey of these advances. This book fills that gap. It provides a complete presentation of the nonsmooth critical point theory and investigates many different classes of boundary value problems, illustrating a variety of general methods. The treatment includes many important recent results, including some that were previously unpublished. Detailed appendices provide easy access to the mathematical tools used in the book, and a rich bibliography offers a guide to the literature.
• Mathematical Analysis and Applications
Mathematical Analysis
Mathematical Physics
Applied Mathematics
Reference
Professional