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Stable solutions of elliptic partial differential equations / Louis Dupaigne.

By: Material type: TextTextSeries: Chapman & Hall/CRC monographs and surveys in pure and applied mathematics ; 143.Publication details: Boca Raton, Fla. : Chapman and Hall/CRC, 2011.Description: xiv, 321 p. : ill. (some col.) ; [ca. 23-29] cmISBN:
  • 9781420066548
Subject(s): Available additional physical forms:
  • Also available as an electronic resource.
Contents:
1. Defining stability -- 2. The Gelfand problem -- 3. Extremal solutions -- 4. Regularity threory of stable solutions -- 5. Singular stable solutions -- 6. Liouville theorems for stable solutions -- 7. A conjecture of De Giorgi -- 8. Further readings.
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"A Chapman & Hall book."

Includes bibliographical references (p. 303-317) and index.

1. Defining stability -- 2. The Gelfand problem -- 3. Extremal solutions -- 4. Regularity threory of stable solutions -- 5. Singular stable solutions -- 6. Liouville theorems for stable solutions -- 7. A conjecture of De Giorgi -- 8. Further readings.

Also available as an electronic resource.

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