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Stable Solutions of Elliptic Partial Differential Equations by Louis Dupaigne

Stable Solutions of Elliptic Partial Differential Equations

by Louis Dupaigne
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Book cover type: Hardcover
  • ISBN13: 9781420066548
  • Binding: Hardcover
  • Subject: N/A
  • Publisher: Taylor & Francis
  • Publisher Imprint: CRC Press
  • Publication Date:
  • Pages: 336
  • Original Price: GBP 190.0
  • Language: English
  • Edition: UK
  • Item Weight: 599 grams
  • BISAC Subject(s): Differential Equations / General and Physics / Mathematical & Computational

Stable solutions are ubiquitous in differential equations. They represent meaningful solutions from a physical point of view and appear in many applications, including mathematical physics (combustion, phase transition theory) and geometry (minimal surfaces).

Stable Solutions of Elliptic Partial Differential Equations offers a self-contained presentation of the notion of stability in elliptic partial differential equations (PDEs). The central questions of regularity and classification of stable solutions are treated at length. Specialists will find a summary of the most recent developments of the theory, such as nonlocal and higher-order equations. For beginners, the book walks you through the fine versions of the maximum principle, the standard regularity theory for linear elliptic equations, and the fundamental functional inequalities commonly used in this field. The text also includes two additional topics: the inverse-square potential and some background material on submanifolds of Euclidean space.

Louis Dupaigne is an assistant professor at Université Picardie Jules Verne in Amiens, France.

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