2. On Approximation of One Class of Optimal Control Problems for Strongly Nonlinear Elliptic Equations with p-Laplace Operator

Kapitel in diesem Buch

1. Frontmatter I
2. Preface VII
3. Contents XI
4. Introduction 1
5. 1. Optimal Distributed Control Problem for an Ill-Posed Strongly Nonlinear Elliptic Equation with p-Laplace Operator and L¹-Type of Nonlinearity 11
6. 2. On Approximation of One Class of Optimal Control Problems for Strongly Nonlinear Elliptic Equations with p-Laplace Operator 39
7. 3. Neumann Boundary Optimal Control Problem for Strongly Nonlinear Elliptic Equation with p-Laplace Operator 73
8. 4. Asymptotic Analysis of Optimal Neumann Boundary Control Problem in Domain with Boundary Oscillation for Elliptic Equation with Exponential Non-Linearity 116
9. 5. On Optimal and Quasi-Optimal Controls in Coefficients for Multi-Dimensional Thermistor Problem with Mixed Dirichlet-Neumann Boundary Conditions 164
10. 6. Approximation of an Optimal Control Problem in Coefficient for Variational Inequality with Anisotropic p-Laplacian 211
11. 7. On Unbounded Optimal Controls in Coefficients for Ill-Posed Elliptic Dirichlet Boundary Value Problems 226
12. 8. On Optimal L¹-Control in Coefficients for Quasi-Linear Dirichlet Boundary Value Problem with BMO-Anisotropic p-Laplacian 294
13. Bibliography 331