The Harnack Inequality for Singular Equations

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


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
$$p^{\ast} = \frac{2N}{N + 1} < p < 2.$$


Weak Solution Comparison Principle Harnack Inequality Nonnegative Solution Bibliographical Note 
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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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