Regularity of an elliptic problem with a singular nonlinearity

Changfeng Gui, Fang Hua Lin

Research output: Contribution to journalArticlepeer-review


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 languageEnglish (US)
Pages (from-to)1021-1029
Number of pages9
JournalProceedings of the Royal Society of Edinburgh: Section A Mathematics
Issue number6
StatePublished - 1993

ASJC Scopus subject areas

  • General Mathematics


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