Regularity of an elliptic problem with a singular nonlinearity

Changfeng Gui; Fang Hua Lin

doi:10.1017/S030821050002970X

Regularity of an elliptic problem with a singular nonlinearity

Changfeng Gui, Fang Hua Lin

Mathematics

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

Abstract

We study a semilinear boundary value problem with the feature that the vanishing boundary value makes the equation singular. We prove that the positive solution is in general Holder-continuous up to the boundary and has even better regularity in some special cases.

Original language	English (US)
Pages (from-to)	1021-1029
Number of pages	9
Journal	Proceedings of the Royal Society of Edinburgh: Section A Mathematics
Volume	123
Issue number	6
DOIs	https://doi.org/10.1017/S030821050002970X
State	Published - 1993

ASJC Scopus subject areas

Mathematics(all)

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title = "Regularity of an elliptic problem with a singular nonlinearity",

abstract = "We study a semilinear boundary value problem with the feature that the vanishing boundary value makes the equation singular. We prove that the positive solution is in general Holder-continuous up to the boundary and has even better regularity in some special cases.",

author = "Changfeng Gui and Lin, {Fang Hua}",

year = "1993",

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language = "English (US)",

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