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

Shigeaki Koike, Takahiro Kosugi

Research output: Contribution to journal › Article

4 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

Fingerprint

Zeroth
Comparison Principle
Elliptic Partial Differential Equations
Viscosity Solutions
Partial differential equations
Viscosity
Term

Keywords

  • Comparison principle
  • Quasilinear elliptic equation
  • Viscosity solution

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

Remarks on the comparison principle for quasilinear PDE with no zeroth order terms. / Koike, Shigeaki; Kosugi, Takahiro.

In: Communications on Pure and Applied Analysis, Vol. 14, No. 1, 01.01.2015, p. 133-142.

Research output: Contribution to journal › Article

Koike, S & Kosugi, T 2015, 'Remarks on the comparison principle for quasilinear PDE with no zeroth order terms', Communications on Pure and Applied Analysis, vol. 14, no. 1, pp. 133-142. https://doi.org/10.3934/cpaa.2015.14.133
Koike S, Kosugi T. Remarks on the comparison principle for quasilinear PDE with no zeroth order terms. Communications on Pure and Applied Analysis. 2015 Jan 1;14(1):133-142. https://doi.org/10.3934/cpaa.2015.14.133
Koike, Shigeaki ; Kosugi, Takahiro. / Remarks on the comparison principle for quasilinear PDE with no zeroth order terms. In: Communications on Pure and Applied Analysis. 2015 ; Vol. 14, No. 1. pp. 133-142.
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