TITLE

On the Boundary Behaviour, Including Second Order Effects, of Solutions to Singular Elliptic Problems

AUTHOR(S)
Berhanu, S.; Cuccu, F.; Porru, G.
PUB. DATE
March 2007
SOURCE
Acta Mathematica Sinica;Mar2007, Vol. 23 Issue 3, p479
SOURCE TYPE
DOC. TYPE
Article
ABSTRACT
For Î³ â‰¥ 1 we consider the solution u = u( x) of the Dirichlet boundary value problem Î” u + u âˆ’ Î³ = 0 in Î©, u = 0 on âˆ‚Î©. For Î³ = 1 we find the estimate where $$p{\left( r \right)} \approx r{\sqrt {2\log {\left( {1 \mathord{\left/ {\vphantom {1 r}} \right. \kern-\nulldelimiterspace} r} \right)}} }$$ near r = 0, Î´( x) denotes the distance from x to âˆ‚Î©, 0 < âˆˆ < 1/2, and A( x) is a bounded function. For 1 < Î³ < 3 we find For Î³ = 3 we prove that
ACCESSION #
24500997

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