COMPARISON OF GREEN FUNCTIONS FOR GENERALIZED SCHRÖDINGER OPERATORS ON C 1,1 -DOMAINS

Lotfi Riahi · 2003

We establish some inequalities on the 1 -Green function G on bounded C 1,1 - domain. We use these inequalities to prove the existence of the 1 µ -Green function Gµ and its comparability to G, where µ is in some general class of signed Radon measures. Finally we prove that the choice of this class is essentially optimal.

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