We present conditions on the disagreement between two elliptic operators which ensure the preservation of Lp solvability for the Dirichlet problem on the unit ball in ℝn. The conditions depend on p and differ from previous results on this question. Furthermore, the conditions are sharp in the sense that they are equivalent to Lp solvability for a special class of operators which arise in the n = 2 case.

Original languageEnglish
Pages (from-to)502-543
Number of pages42
JournalJournal of Functional Analysis
Issue number2
StatePublished - Jun 15 1996


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