Remarks on the comparison principle for quasilinear PDE with no zeroth order terms

Shigeaki Koike, Takahiro Kosugi

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

A comparison principle for viscosity solutions of second-order quasilinear elliptic partial differential equations with no zeroth order terms is shown. A different transformation from that of Barles and Busca in [3] is adapted to enable us to deal with slightly more general equations.

Original languageEnglish
Pages (from-to)133-142
Number of pages10
JournalCommunications on Pure and Applied Analysis
Volume14
Issue number1
DOIs
Publication statusPublished - 2015 Jan 1
Externally publishedYes

Keywords

  • Comparison principle
  • Quasilinear elliptic equation
  • Viscosity solution

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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