Gradient estimates for problems with Orlicz growth

Prelegent(ci)

Iwona Skrzypczak

Afiliacja

Uniwersytet Warszawski (MIM)

Termin

28 marca 2018 12:30

Pokój

p. 5070

Seminarium

Seminarium Zakładu Równań Fizyki Matematycznej

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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.
Main tool I derive and analyse is a level-set decay estimate for a maximal operator of gradient of the solution.

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