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Nonlinear potential theory and PDEs
Authors:Tero Kilpeläinen
Affiliation:(1) Department of Mathematics, University of Jyväskylä, P.O. Box 35, 40351 Jyväskylä, Finland
Abstract:We consider equations like -div(|nablau|p–2nablau)=mgr, where mgr is a nonnegative Radon measure and 1. Results that relate the solutionu and the measure mgr are reviewed. A link between potential estimates and the boundary regularity of the Dirichlet problem is established.
Keywords:35J60  31C45  31C15
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