Optimal boundary regularity for nonlinear singular elliptic equations

Huaiyu Jian; Xu jia Wang

doi:10.1016/j.aim.2013.10.009

Optimal boundary regularity for nonlinear singular elliptic equations

Huaiyu Jian^*, Xu jia Wang

^*Corresponding author for this work

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

18 Citations (Scopus)

Abstract

In this paper we prove the optimal boundary regularity under natural structural conditions for a large class of nonlinear elliptic equations with singular terms near the boundary. By a careful construction of super- and sub-solutions, we obtain precise growth estimates for solutions at the boundary and reduce the boundary regularity to the interior one by a rescaling argument.

Original language	English
Pages (from-to)	111-126
Number of pages	16
Journal	Advances in Mathematics
Volume	251
DOIs	https://doi.org/10.1016/j.aim.2013.10.009
Publication status	Published - 30 Jan 2014

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title = "Optimal boundary regularity for nonlinear singular elliptic equations",

abstract = "In this paper we prove the optimal boundary regularity under natural structural conditions for a large class of nonlinear elliptic equations with singular terms near the boundary. By a careful construction of super- and sub-solutions, we obtain precise growth estimates for solutions at the boundary and reduce the boundary regularity to the interior one by a rescaling argument.",

keywords = "Boundary regularity, Elliptic equation",

author = "Huaiyu Jian and Wang, {Xu jia}",

year = "2014",

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day = "30",

doi = "10.1016/j.aim.2013.10.009",

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T1 - Optimal boundary regularity for nonlinear singular elliptic equations

AU - Jian, Huaiyu

AU - Wang, Xu jia

PY - 2014/1/30

Y1 - 2014/1/30

N2 - In this paper we prove the optimal boundary regularity under natural structural conditions for a large class of nonlinear elliptic equations with singular terms near the boundary. By a careful construction of super- and sub-solutions, we obtain precise growth estimates for solutions at the boundary and reduce the boundary regularity to the interior one by a rescaling argument.

AB - In this paper we prove the optimal boundary regularity under natural structural conditions for a large class of nonlinear elliptic equations with singular terms near the boundary. By a careful construction of super- and sub-solutions, we obtain precise growth estimates for solutions at the boundary and reduce the boundary regularity to the interior one by a rescaling argument.

KW - Boundary regularity

KW - Elliptic equation

UR - http://www.scopus.com/inward/record.url?scp=84887146534&partnerID=8YFLogxK

U2 - 10.1016/j.aim.2013.10.009

DO - 10.1016/j.aim.2013.10.009

M3 - Article

SN - 0001-8708

VL - 251

SP - 111

EP - 126

JO - Advances in Mathematics

JF - Advances in Mathematics

ER -

Optimal boundary regularity for nonlinear singular elliptic equations

Abstract

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