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.
Guide to nonlinear potential estimates / T., Kuusi; Mingione, Giuseppe. - In: BULLETIN OF MATHEMATICAL SCIENCES. - ISSN 1664-3607. - 4:(2014), pp. 1-82. [10.1007/s13373-013-0048-9]
Guide to nonlinear potential estimates
MINGIONE, Giuseppe
2014-01-01
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.File in questo prodotto:
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