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Elliptic Interpolation Estimates for Non-Standard Growth Operators
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics.
2014 (English)In: Annales Academiae Scientiarum Fennicae Mathematica, ISSN 1239-629X, E-ISSN 1798-2383, Vol. 39, no 1, p. 119-162Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2014. Vol. 39, no 1, p. 119-162
Keywords [en]
Non-standard growth conditions, Wolff and Riesz potentials, pointwise estimates
National Category
Natural Sciences
Identifiers
URN: urn:nbn:se:uu:diva-221726DOI: 10.5186/aasfm.2014.3915ISI: 000331852300008OAI: oai:DiVA.org:uu-221726DiVA, id: diva2:710182
Available from: 2014-04-04 Created: 2014-04-03 Last updated: 2017-12-05Bibliographically approved

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Baroni, Paolo

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