Calculus of Variations and Geometric Measure Theory
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T. Kuusi - G. Mingione

Guide to Nonlinear Potential Estimates

created by mingione on 07 Nov 2013
modified on 27 Mar 2014

[BibTeX]

Published Paper

Inserted: 7 nov 2013
Last Updated: 27 mar 2014

Journal: Bull. Math. Sci.
Volume: 4
Pages: 1-82
Year: 2014
Doi: 10.1007/s13373-013-0048-9
Links: link to the paper

Abstract:

One of the basic achievements in nonlinear potential theory is that the typical linear pointwise estimates via fundamental solutions find a precise analog in the case of nonlinear equations. We give a comprehensive account of this fact and prove new unifying families of potential estimates. We also describe new fine properties of solutions to measure data problems.


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