Wolff potentials and measure data vectorial problems with Orlicz growth

Author:

Chlebicka IwonaORCID,Youn Yeonghun,Zatorska-Goldstein AnnaORCID

Abstract

AbstractWe study solutions to measure data elliptic systems with Uhlenbeck-type structure that involve operator of divergence form, depending continuously on the spacial variable, and exposing doubling Orlicz growth with respect to the second variable. Pointwise estimates for the solutions that we provide are expressed in terms of a nonlinear potential of generalized Wolff type. Not only we retrieve the recent sharp results proven for p-Laplace systems, but additionally our study covers the natural scope of operators with similar structure and natural class of Orlicz growth.

Funder

Narodowe Centrum Nauki

National Fusion Research Institute

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

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