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

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

6 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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10.3934/cpaa.2015.14.133

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title = "Remarks on the comparison principle for quasilinear PDE with no zeroth order terms",

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.",

keywords = "Comparison principle, Quasilinear elliptic equation, Viscosity solution",

author = "Shigeaki Koike and Takahiro Kosugi",

year = "2015",

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doi = "10.3934/cpaa.2015.14.133",

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N2 - 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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KW - Comparison principle

KW - Quasilinear elliptic equation

KW - Viscosity solution

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

Abstract

Keywords

ASJC Scopus subject areas

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