Nonlinear Differential Problems with Smooth and Nonsmooth Constraints Mathematical Analysis and its Applications 1st Edition Dumitru Motreanu 0128133937 9780128133934

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Product details:

• ISBN 10: 0128133937
• ISBN 13: 9780128133934
• Author: Dumitru Motreanu

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.

Table of contents:

Chapter 1: Elements of Functional Analysis and Operator Theory

Chapter 2: Elements of Regularity Theory and Maximum Principle

Chapter 3: Nonlinear Elliptic Eigenvalue Problems

Chapter 4: Nonlinear Elliptic Equations with General Dependence on the Gradient of the Solution

Chapter 5: Constant-Sign and Sign-Changing Solutions for Quasilinear Elliptic Problems

Chapter 6: Nonlinear Elliptic Systems

Chapter 7: Singular Quasilinear Elliptic Systems

Chapter 8: Evolutionary Variational and Quasivariational Inequalities

Chapter 9: Control Problems for Evolutionary Differential Inclusions

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