Estimates of the Caccioppoli-Schauder type in weighted function spaces

Troianiello, Giovanni Maria

doi:10.1090/S0002-9947-1992-1049865-3

Estimates of the Caccioppoli-Schauder type in weighted function spaces
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by Giovanni Maria Troianiello

Trans. Amer. Math. Soc. 334 (1992), 551-573

DOI: https://doi.org/10.1090/S0002-9947-1992-1049865-3

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Abstract:

We deal with imbeddings of certain weighted function spaces as well as with the corresponding norm estimates for solutions to second order elliptic problems. We redemonstrate some results of Gilbarg and Hörmander by a technique, entirely different from theirs, which enables us to cover a range of parameters excluded by them.

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A class of weighted function spaces and intermediate Caccioppoli-Schauder estimates