TITLE

# Positive solutions of ...u +u p =0 whose singular set is a manifold with boundary

AUTHOR(S)
Fakhi, Sa�dia
PUB. DATE
June 2003
SOURCE
Calculus of Variations & Partial Differential Equations;Jun2003, Vol. 17 Issue 2, p179
SOURCE TYPE
DOC. TYPE
Article
ABSTRACT
The aim of this paper is to prove the existence of weak solutions to the equation ?u + up = 0, with n= 4, which are positive in a domain O ? Rn and which are singular along a k-dimensional submanifold with smooth boundary. Here, the exponent p is required to lie in the interval [...), where 1 = k < n-2 is the dimension of the singular set. In the particular case where p = ... and O = Rn, solutions correspond to solutions of the singular Yamabe problem.
ACCESSION #
13604327

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