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

Shigeaki Koike; Takahiro Kosugi

doi:10.3934/cpaa.2015.14.133

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

Shigeaki Koike, Takahiro Kosugi

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	133-142
Number of pages	10
Journal	Communications on Pure and Applied Analysis
Volume	14
Issue number	1
DOIs	https://doi.org/10.3934/cpaa.2015.14.133
Publication status	Published - 2015 Jan 1
Externally published	Yes

Keywords

Comparison principle
Quasilinear elliptic equation
Viscosity solution

ASJC Scopus subject areas

Analysis
Applied Mathematics

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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.",

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