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

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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}",

note = "Funding Information: The first author is partially supported by NSF grant DMS-9114456 and the second author is partially supported by NSF grant DMS-9149555.",

year = "1993",

doi = "10.1017/S030821050002970X",

language = "English (US)",

volume = "123",

pages = "1021--1029",

journal = "Proceedings of the Royal Society of Edinburgh Section A: Mathematics",

issn = "0308-2105",

publisher = "Cambridge University Press",

number = "6",

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T1 - Regularity of an elliptic problem with a singular nonlinearity

AU - Gui, Changfeng

AU - Lin, Fang Hua

N1 - Funding Information: The first author is partially supported by NSF grant DMS-9114456 and the second author is partially supported by NSF grant DMS-9149555.

PY - 1993

Y1 - 1993

N2 - 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.

AB - 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.

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U2 - 10.1017/S030821050002970X

DO - 10.1017/S030821050002970X

M3 - Article

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JO - Proceedings of the Royal Society of Edinburgh Section A: Mathematics

JF - Proceedings of the Royal Society of Edinburgh Section A: Mathematics

SN - 0308-2105

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Regularity of an elliptic problem with a singular nonlinearity

Abstract

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