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• W2031330682 abstract "We obtain global bounds in Lorentz–Morrey spaces for gradients of solutions to a class of quasilinear elliptic equations with low integrability data. The results are then applied to obtain sharp existence results in the framework of Morrey spaces for Riccati type equations with a gradient source term having growths below the natural exponent of the operator involved. A special feature of our results is that they hold under a very general assumption on the nonlinear structure, and under a mild natural restriction on the boundary of the ground domain. On obtient des bornes globales dans les espaces de Lorentz–Morrey sur le gradient des solutions d'une classe d'équations elliptiques quasilinéaires pour des données faiblement intégrables. Ces résultats sont ensuite utilisés pour obtenir l'existence de solutions dans des espaces de Morrey d'équations de Riccati sous une hypothèse de croissance du gradient du terme source inférieure à celle de l'exposant naturel de l'opérateur. Une particularité de ces résultats est qu'ils s'appliquent sous des hypothèses très générales sur la structure de la non-linéarité, et la frontière du domaine." @default.
• W2031330682 created "2016-06-24" @default.
• W2031330682 creator A5042712470 @default.
• W2031330682 date "2014-07-01" @default.
• W2031330682 modified "2023-10-01" @default.
• W2031330682 title "Morrey global bounds and quasilinear Riccati type equations below the natural exponent" @default.
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• W2031330682 doi "https://doi.org/10.1016/j.matpur.2013.11.003" @default.
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