Nonlinear differential problems with smooth and nonsmooth constraints /

Nonlinear differential problems with smooth and nonsmooth constraints /

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Bibliographic Details
Main Author: Motreanu, D. (Author)
Format: Book
Language:English
Published: London ; San Diego : Academic Press, [2018]
Series:Mathematical analysis and its applications series
Subjects:
Nonlinear difference equations
Table of Contents:
  • Machine generated contents note: 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
  • 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
  • 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
  • 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)-Lapladan
  • 4.3. Gradient Dependent Problems Driven by Nonhomogeneous Differential Operators
  • 4.4. Notes
  • 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
  • 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
  • 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
  • 8. Evolutionary Variational and Quasivariational Inequalities
  • 8.1. Evolutionary Variational Inequalities
  • 8.2. Evolutionary Quasivariational Inequalities
  • 8.3. Notes
  • 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.

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