We introduce general estimates for “gain of regularity” of solutions of the ¯∂ -Neumann problem and relate it to the existence of weights with large Levi form at the boundary. This enables us to discuss in a unified framework the classical results on fractional ellipticity (= subellipticity), superlogarithmic ellipticity and compactness. For each case, we exhibit a corresponding class of domains.
REGULARITY OF THE DI-BAR-NEUMANN PROBLEM AT A POINT OF INIFINITE TYPE
ZAMPIERI, GIUSEPPE
2010
Abstract
We introduce general estimates for “gain of regularity” of solutions of the ¯∂ -Neumann problem and relate it to the existence of weights with large Levi form at the boundary. This enables us to discuss in a unified framework the classical results on fractional ellipticity (= subellipticity), superlogarithmic ellipticity and compactness. For each case, we exhibit a corresponding class of domains.File in questo prodotto:
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