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12. Uniqueness

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Elliptic Partial Differential Equations
This chapter is in the book Elliptic Partial Differential Equations

Chapters in this book

  1. Frontmatter i
  2. Contents vii
  3. Notations x
  4. 1. Introduction 1
  5. Part I
  6. 2. Some fixed point theorems 5
  7. 3. Preliminaries of real analysis 13
  8. 4. Linear and semilinear elliptic equations 24
  9. 5. Nonlinear elliptic equations 37
  10. 6. Summability of the solutions 47
  11. 7. H2 regularity for linear problems 61
  12. 8. Spectral analysis for linear operators 67
  13. 9. Calculus of variations and Euler’s equation 84
  14. Part II
  15. 10. Natural growth problems 105
  16. 11. Problems with low summable sources 121
  17. 12. Uniqueness 150
  18. 13. A problem with polynomial growth 157
  19. 14. A problem with degenerate coercivity 166
  20. Bibliography 187
  21. Index 191
https://doi.org/10.1515/9783110315424.150

Chapters in this book

  1. Frontmatter i
  2. Contents vii
  3. Notations x
  4. 1. Introduction 1
  5. Part I
  6. 2. Some fixed point theorems 5
  7. 3. Preliminaries of real analysis 13
  8. 4. Linear and semilinear elliptic equations 24
  9. 5. Nonlinear elliptic equations 37
  10. 6. Summability of the solutions 47
  11. 7. H2 regularity for linear problems 61
  12. 8. Spectral analysis for linear operators 67
  13. 9. Calculus of variations and Euler’s equation 84
  14. Part II
  15. 10. Natural growth problems 105
  16. 11. Problems with low summable sources 121
  17. 12. Uniqueness 150
  18. 13. A problem with polynomial growth 157
  19. 14. A problem with degenerate coercivity 166
  20. Bibliography 187
  21. Index 191
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