Nonlinear gradient estimates for elliptic double obstacle problems with measure data
arXiv:1912.04073 · doi:10.1016/j.jde.2021.05.035
Abstract
We study quasilinear elliptic double obstacle problems with a variable exponent growth when the right-hand side is a measure. A global Calderón-Zygmund estimate for the gradient of an approximable solution is obtained in terms of the associated double obstacles and a given measure, identifying minimal requirements for the regularity estimate.
26 pages, typos corrected