The p-Laplace system with right-hand side in divergence form: Inner and up to the boundary pointwise estimates

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F17%3A10372075" target="_blank" >RIV/00216208:11320/17:10372075 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.na.2016.06.011" target="_blank" >http://dx.doi.org/10.1016/j.na.2016.06.011</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.na.2016.06.011" target="_blank" >10.1016/j.na.2016.06.011</a>

Result language
angličtina
Original language name
The p-Laplace system with right-hand side in divergence form: Inner and up to the boundary pointwise estimates
Original language description
In this note we collect some very recent pointwise bounds for the gradient of solutions, and for the solutions themselves, to the p-Laplace system with right-hand side in divergence form. Both estimates inside the domain for local solutions, and global estimates for solutions to boundary value problems are discussed. Their formulation involves sharp maximal operators, whose properties enable us to translate some aspects of the elliptic regularity theory into a merely harmonic analytic framework. As a consequence, a flexible, comprehensive approach to estimates for solutions to the p-Laplace system for a broad class of norms is derived. In particular, global estimates under minimal boundary regularity are presented.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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