Nonlinear Differential Problems with Smooth and Nonsmooth Constraints
eBook - ePub

Nonlinear Differential Problems with Smooth and Nonsmooth Constraints

  1. 362 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Nonlinear Differential Problems with Smooth and Nonsmooth Constraints

About this book

Nonlinear Differential Problems with Smooth and Nonsmooth Constraints systematically evaluates how to solve boundary value problems with smooth and nonsmooth constraints. Primarily covering nonlinear elliptic eigenvalue problems and quasilinear elliptic problems using techniques amalgamated from a range of sophisticated nonlinear analysis domains, the work is suitable for PhD and other early career researchers seeking solutions to nonlinear differential equations. Although an advanced work, the book is self-contained, requiring only graduate-level knowledge of functional analysis and topology. Whenever suitable, open problems are stated and partial solutions proposed. The work is accompanied by end-of-chapter problems and carefully curated references. - Builds from functional analysis and operator theory, to nonlinear elliptic systems and control problems - Outlines the evolution of the main ideas of nonlinear analysis and their roots in classical mathematics - Presented with numerous end-of-chapter exercises and sophisticated open problems - Illustrated with pertinent industrial and engineering numerical examples and applications - Accompanied by hundreds of curated references, saving readers hours of research in conducting literature analysis

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Yes, you can access Nonlinear Differential Problems with Smooth and Nonsmooth Constraints by Dumitru Motreanu in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematical Analysis. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover image
  2. Title page
  3. Table of Contents
  4. Copyright
  5. Dedication
  6. About the Author
  7. Preface
  8. Acknowledgment
  9. Introduction
  10. Chapter 1: Elements of Functional Analysis and Operator Theory
  11. Chapter 2: Elements of Regularity Theory and Maximum Principle
  12. Chapter 3: Nonlinear Elliptic Eigenvalue Problems
  13. Chapter 4: Nonlinear Elliptic Equations with General Dependence on the Gradient of the Solution
  14. Chapter 5: Constant-Sign and Sign-Changing Solutions for Quasilinear Elliptic Problems
  15. Chapter 6: Nonlinear Elliptic Systems
  16. Chapter 7: Singular Quasilinear Elliptic Systems
  17. Chapter 8: Evolutionary Variational and Quasivariational Inequalities
  18. Chapter 9: Control Problems for Evolutionary Differential Inclusions
  19. Bibliography
  20. Index