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arxiv: 1805.11326 · v1 · pith:SNKBSN2Cnew · submitted 2018-05-29 · 🧮 math.AP

Gradient estimates for problems with Orlicz growth

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keywords dataestimatesorliczbelongingconditionsdualellipticenergy
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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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