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The Harnack Inequality for Singular Equations

  • Emmanuele DiBenedetto
  • Ugo Gianazza
  • Vincenzo Vespri
Chapter
Part of the Springer Monographs in Mathematics book series (SMM)

Abstract

Let u be a continuous, nonnegative, local, weak solution to the singular equations (1.1)–(1.2) of Chapter 3 in E T , for p in the supercritical range
$$p^{\ast} = \frac{2N}{N + 1} < p < 2.$$

Keywords

Weak Solution Comparison Principle Harnack Inequality Nonnegative Solution Bibliographical Note 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  • Emmanuele DiBenedetto
    • 1
  • Ugo Gianazza
    • 2
  • Vincenzo Vespri
    • 3
  1. 1.Department of MathematicsVanderbilt UniversityNashvilleUSA
  2. 2.Dipartimento di Matematica “F. Casorati”Università degli Studi di PaviaPaviaItaly
  3. 3.Dipartimento di Matematica “U. Dini”Università degli Studi di FirenzeFirenzeItaly

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