Document Type
Article
Publication Date
1-1-2014
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. © 2013 Elsevier Masson SAS.
Publication Source (Journal or Book title)
Journal Des Mathematiques Pures Et Appliquees
First Page
99
Last Page
123
Recommended Citation
Phuc, N. (2014). Morrey global bounds and quasilinear Riccati type equations below the natural exponent. Journal Des Mathematiques Pures Et Appliquees, 102 (1), 99-123. https://doi.org/10.1016/j.matpur.2013.11.003