[Une estimation de type linéaire surprenante pour des équations elliptiques non linéaires]
Des bornes ponctuelles par potentiels de Riesz semblables à celles disponibles pour lʼéquation de Poisson sont valables pour des équations du type du p-laplacien.
Pointwise gradient bounds via Riesz potentials, like those available for the Poisson equation, actually hold for p-Laplacian type equations.
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@article{CRMATH_2011__349_15-16_889_0,
author = {Kuusi, Tuomo and Mingione, Giuseppe},
title = {A surprising linear type estimate for nonlinear elliptic equations},
journal = {Comptes Rendus. Math\'ematique},
pages = {889--892},
publisher = {Elsevier},
volume = {349},
number = {15-16},
year = {2011},
doi = {10.1016/j.crma.2011.07.025},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2011.07.025/}
}
TY - JOUR AU - Kuusi, Tuomo AU - Mingione, Giuseppe TI - A surprising linear type estimate for nonlinear elliptic equations JO - Comptes Rendus. Mathématique PY - 2011 SP - 889 EP - 892 VL - 349 IS - 15-16 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2011.07.025/ DO - 10.1016/j.crma.2011.07.025 LA - en ID - CRMATH_2011__349_15-16_889_0 ER -
%0 Journal Article %A Kuusi, Tuomo %A Mingione, Giuseppe %T A surprising linear type estimate for nonlinear elliptic equations %J Comptes Rendus. Mathématique %D 2011 %P 889-892 %V 349 %N 15-16 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2011.07.025/ %R 10.1016/j.crma.2011.07.025 %G en %F CRMATH_2011__349_15-16_889_0
Kuusi, Tuomo; Mingione, Giuseppe. A surprising linear type estimate for nonlinear elliptic equations. Comptes Rendus. Mathématique, Tome 349 (2011) no. 15-16, pp. 889-892. doi : 10.1016/j.crma.2011.07.025. http://www.numdam.org/articles/10.1016/j.crma.2011.07.025/
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