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Regularity of an elliptic problem with a singular nonlinearity

Published online by Cambridge University Press:  14 November 2011

Changfeng Gui  and
Fang Hua Lin
Changfeng Gui
Affiliation:
Courant Institute of Mathematical Sciences, New York University, 251 Mercer St, New York, NY 10012, U.S.A.
Fang Hua Lin
Affiliation:
Courant Institute of Mathematical Sciences, New York University, 251 Mercer St, New York, NY 10012, U.S.A.
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Synopsis

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 Hölder-continuous up to the boundary and has even better regularity in some special cases.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 123 , Issue 6 , 1993 , pp. 1021 - 1029
Copyright
Copyright © Royal Society of Edinburgh 1993

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