Guide to nonlinear potential estimates

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...

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Detalles Bibliográficos
Autores principales: Kuusi, Tuomo, Mingione, Giuseppe
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Basel 2014
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4805127/
https://www.ncbi.nlm.nih.gov/pubmed/27069463
http://dx.doi.org/10.1007/s13373-013-0048-9
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author Kuusi, Tuomo
Mingione, Giuseppe
author_facet Kuusi, Tuomo
Mingione, Giuseppe
author_sort Kuusi, Tuomo
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description 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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spelling pubmed-48051272016-04-09 Guide to nonlinear potential estimates Kuusi, Tuomo Mingione, Giuseppe Bull Math Sci Article 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. Springer Basel 2014-01-09 2014 /pmc/articles/PMC4805127/ /pubmed/27069463 http://dx.doi.org/10.1007/s13373-013-0048-9 Text en © The Author(s) 2014 https://creativecommons.org/licenses/by/2.0/ Open AccessThis article is distributed under the terms of the Creative Commons Attribution License which permits any use, distribution, and reproduction in any medium, provided the original author(s) and the source are credited.
spellingShingle Article
Kuusi, Tuomo
Mingione, Giuseppe
Guide to nonlinear potential estimates
title Guide to nonlinear potential estimates
title_full Guide to nonlinear potential estimates
title_fullStr Guide to nonlinear potential estimates
title_full_unstemmed Guide to nonlinear potential estimates
title_short Guide to nonlinear potential estimates
title_sort guide to nonlinear potential estimates
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4805127/
https://www.ncbi.nlm.nih.gov/pubmed/27069463
http://dx.doi.org/10.1007/s13373-013-0048-9
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