Pointwise gradient bounds via Riesz potentials, like those available for the Poisson equation, actually hold for p-Laplacian type equations.
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.
Accepted:
Published online:
Tuomo Kuusi 1; Giuseppe Mingione 2
@article{CRMATH_2011__349_15-16_889_0, author = {Tuomo Kuusi and Giuseppe Mingione}, 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}, }
Tuomo Kuusi; Giuseppe Mingione. A surprising linear type estimate for nonlinear elliptic equations. Comptes Rendus. Mathématique, Volume 349 (2011) no. 15-16, pp. 889-892. doi : 10.1016/j.crma.2011.07.025. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2011.07.025/
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