Gradient estimates for problems with Orlicz growth

Speaker(s)

Iwona Skrzypczak

Affiliation

Uniwersytet Warszawski (MIM)

Date

March 28, 2018, 12:30 p.m.

Room

room 5070

Seminar

Seminar of Mathematical Physics Equations Group

---

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.

---