Gradient estimates for problems with Orlicz growth

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.

References in corpus (1)

• A pocket guide to nonlinear differential equations in the Musielak--Orlicz spaces

Cited by in corpus (3)

• A pocket guide to nonlinear differential equations in the Musielak--Orlicz spaces
• Global gradient estimates for very singular quasilinear elliptic equations with measure data
• Gradient Riesz potential estimates for a general class of measure data quasilinear systems