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ELLIPTIC INTERPOLATION ESTIMATES FOR NON-STANDARD GROWTH OPERATORS.

Authors :
Baroni, Paolo
Habermann, Jens
Source :
Annales Academiae Scientiarum Fennicae. Mathematica. 2014, Vol. 39 Issue 1, p119-162. 44p.
Publication Year :
2014

Abstract

We derive a class of potential estimates for elliptic equations with non-standard growth having a measure on the right-hand side; in particular our results allow to interpolate between the pointwise estimates available for solutions to this equation and the ones for the gradient. We allow bounded coefficients in BMO and VMO classes. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*INTERPOLATION
*NUMERICAL solutions to elliptic equations
*ESTIMATION theory
*NONSTANDARD mathematical analysis
*OPERATOR theory
*COEFFICIENTS (Statistics)

Details

Language :
English
ISSN :
1239629X
Volume :
39
Issue :
1
Database :
Academic Search Index
Journal :
Annales Academiae Scientiarum Fennicae. Mathematica
Publication Type :
Academic Journal
Accession number :
94330036
Full Text :
https://doi.org/10.5186/aasfm.2014.3915
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