Nonlinear Differential Problems with Smooth and Nonsmooth Constraints (Mathematical Analysis and its Applications)

Dedication
About the Author
Preface
Acknowledgment
Introduction
Chapter 1: Elements of Functional Analysis and Operator Theory
	1.1 Sobolev Spaces
	1.2 Optimization, Subdifferentials and Generalized Gradients
	1.3 Monotone and Pseudomonotone Operators
	1.4 Notes
Chapter 2: Elements of Regularity Theory and Maximum Principle
	2.1 Properties of the Solution Set
	2.2 Regularity Theory for Nonlinear Elliptic Equations
	2.3 Strong Maximum Principle for Nonlinear Elliptic Equations
	2.4 Notes
Chapter 3: Nonlinear Elliptic Eigenvalue Problems
	3.1 Eigenvalue Problem for p-Laplacian Under Different Boundary Conditions
	3.2 Eigenvalue Problems for (p,q)-Laplacian with Indefinite Weights
	3.3 Eigenvalue Problems for Asymptotically Homogeneous Differential Elliptic Operators
	3.4 Notes
Chapter 4: Nonlinear Elliptic Equations with General Dependence on the Gradient of the Solution
	4.1 Gradient Dependent Problems with p-Laplacian
	4.2 Gradient Dependent Problems with (p,q)-Laplacian
	4.3 Gradient Dependent Problems Driven by Nonhomogeneous Differential Operators
	4.4 Notes
Chapter 5: Constant-Sign and Sign-Changing Solutions for Quasilinear Elliptic Problems
	5.1 The Case of Dirichlet Boundary Condition
	5.2 The Case of Neumann Boundary Condition
	5.3 Problems with Multivalued Terms
	5.4 Notes
Chapter 6: Nonlinear Elliptic Systems
	6.1 Elliptic Systems Fully Depending on the Gradient of the Solution
	6.2 Subsolutions-Supersolutions for Nonlinear Elliptic Systems
	6.3 Elliptic Systems with Variational Structure
	6.4 Notes
Chapter 7: Singular Quasilinear Elliptic Systems
	7.1 The Case of Singularities with Respect to the Solution
	7.2 The Case of Singularities with Respect to the Gradient of the Solution
	7.3 Notes
Chapter 8: Evolutionary Variational and Quasivariational Inequalities
	8.1 Evolutionary Variational Inequalities
	8.2 Evolutionary Quasivariational Inequalities
	8.3 Notes
Chapter 9: Control Problems for Evolutionary Differential Inclusions
	9.1 Semilinear Evolutionary Inclusions with Control Parameter
	9.2 Evolutionary Problems Driven by Variational Inequalities
	9.3 Notes
Bibliography
Index