Elliptic interpolation estimates for non-standard growth operators

Habermann J, Baroni P (2014)

Publication Type: Journal article

Publication year: 2014

Journal

Annales Academiae Scientiarum Fennicae-Mathematica Academia Scientiarum Fennica

Publisher: Academia Scientiarum Fennica

Book Volume: 39

Pages Range: 119-162

DOI: 10.5186/aasfm.2014.3915

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.

Authors with CRIS profile

Jens Habermann

Involved external institutions

University of Parma / Università degli Studi di Parma IT Italy (IT)

How to cite

APA:

Habermann, J., & Baroni, P. (2014). Elliptic interpolation estimates for non-standard growth operators. Annales Academiae Scientiarum Fennicae-Mathematica, 39, 119-162. https://dx.doi.org/10.5186/aasfm.2014.3915

MLA:

Habermann, Jens, and Paolo Baroni. "Elliptic interpolation estimates for non-standard growth operators." Annales Academiae Scientiarum Fennicae-Mathematica 39 (2014): 119-162.

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