### 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 | |

State | Published - 1993 |

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### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

**Regularity of an elliptic problem with a singular nonlinearity.** / Gui, Changfeng; Lin, Fang-Hua.

Research output: Contribution to journal › Article

*Proceedings of the Royal Society of Edinburgh Section A: Mathematics*, vol. 123, no. 6, pp. 1021-1029. https://doi.org/10.1017/S030821050002970X

}

TY - JOUR

T1 - Regularity of an elliptic problem with a singular nonlinearity

AU - Gui, Changfeng

AU - Lin, Fang-Hua

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.

UR - http://www.scopus.com/inward/record.url?scp=0041159905&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0041159905&partnerID=8YFLogxK

U2 - 10.1017/S030821050002970X

DO - 10.1017/S030821050002970X

M3 - Article

AN - SCOPUS:0041159905

VL - 123

SP - 1021

EP - 1029

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

IS - 6

ER -