A note on the Wolff potential estimate for solutions to elliptic equations involving measures

Riikka Korte*, Tuomo Kuusi

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

36 Citations (Scopus)

Abstract

We present a new proof for a pointwise upper bound in terms of Wolff potential for A-superharmonic functions, which are the pointwise defined solutions to elliptic equations involving nonnegative measure data.

Original languageEnglish
Pages (from-to)99-113
Number of pages15
JournalAdvances in Calculus of Variations
Volume3
Issue number1
DOIs
Publication statusPublished - Mar 2010
MoE publication typeA1 Journal article-refereed

Keywords

  • Measure data
  • Nonlinear elliptic equations
  • P-Laplace
  • Pointwise potential estimates
  • Superharmonic functions
  • The Wolff potential

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