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arXiv · 1805.11326

Gradient estimates for problems with Orlicz growth

Iwona Chlebicka
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Abstract

We study a general nonlinear elliptic equation in the Orlicz setting with data not belonging to the dual of the energy space. We provide several Lorentz-type and Morrey-type estimates for the gradients of solutions under various conditions on the data.

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Iwona Chlebicka. 2018-05-29. Gradient estimates for problems with Orlicz growth. https://doi.org/10.1016/j.na.2018.10.008

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