Examples of capacity for some elliptic operators

Jang Mei Wu

Research output: Contribution to journalArticlepeer-review

Abstract

We study L-capacities for uniformly elliptic operators of nondivergenceform and construct examples of large sets having zero p-capacity for some L, andsmall sets having positive L-capacity. The relations between ellipticity constantsof the coefficients and the sizes of these sets are also considered.

Original languageEnglish (US)
Pages (from-to)379-395
Number of pages17
JournalTransactions of the American Mathematical Society
Volume333
Issue number1
DOIs
StatePublished - Sep 1992
Externally publishedYes

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics

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