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Existence results for semilinear elliptic equations with small measure data

✍ Scribed by Nathalie Grenon

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
83 KB
Volume
19
Category
Article
ISSN
0294-1449

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✦ Synopsis

We give a smallness condition on |m|, and f q for the existence of a solution for the model problem:

and µ is a Radon measure with bounded variation on such that |µ|( ) = 1.  2002 Éditions scientifiques et médicales Elsevier SAS RÉSUMÉ. -Nous donnons une condition suffisante sur |m|, et f q pour l'existence de solution au problème modèle :p u = f (x)|u| γ + mµ avec u = 0 sur ∂ , où est un ouvert borné de R N , f (x) ∈ L q ( ), q 1, m ∈ R et µ est une mesure de Radon à variation bornée sur telle que |µ( )| = 1.  2002 Éditions scientifiques et médicales Elsevier SAS

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