Elliptic Equations: An Introductory Course

Authors:

ISBN: 978-3-7643-9981-8 (Print) 978-3-7643-9982-5 (Online)

Table of contents (19 chapters)

  1. Front Matter

    Pages i-ix

  2. Basic Techniques

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 3-12

      Hilbert Space Techniques

    3. No Access

      Book Chapter

      Pages 13-34

      A Survey of Essential Analysis

    4. No Access

      Book Chapter

      Pages 35-42

      Weak Formulation of Elliptic Problems

    5. No Access

      Book Chapter

      Pages 43-56

      Elliptic Problems in Divergence Form

    6. No Access

      Book Chapter

      Pages 57-71

      Singular Perturbation Problems

    7. No Access

      Book Chapter

      Pages 73-91

      Asymptotic Analysis for Problems in Large Cylinders

    8. No Access

      Book Chapter

      Pages 93-104

      Periodic Problems

    9. No Access

      Book Chapter

      Pages 105-120

      Homogenization

    10. No Access

      Book Chapter

      Pages 121-128

      Eigenvalues

    11. No Access

      Book Chapter

      Pages 129-149

      Numerical Computations

  3. More Advanced Theory

    1. Front Matter

      Pages 151-151

    2. No Access

      Book Chapter

      Pages 153-176

      Nonlinear Problems

    3. No Access

      Book Chapter

      Pages 177-189

      L-estimates

    4. No Access

      Book Chapter

      Pages 191-202

      Linear Elliptic Systems

    5. No Access

      Book Chapter

      Pages 203-209

      The Stationary Navier—Stokes System

    6. No Access

      Book Chapter

      Pages 211-216

      Some More Spaces

    7. No Access

      Book Chapter

      Pages 217-229

      Regularity Theory

    8. No Access

      Book Chapter

      Pages 231-245

      The p-Laplace Equation

    9. No Access

      Book Chapter

      Pages 247-259

      The Strong Maximum Principle

    10. No Access

      Book Chapter

      Pages 261-274

      Problems in the Whole Space

  4. Back Matter

    Pages 275-290