Riesz potential estimates for non-linear elliptic obstacle problems
arXiv:2607.14763
summary
The paper studies nonlinear elliptic obstacle problems with measure data and derives pointwise gradient bounds for solutions using Riesz potential estimates.
Abstract
This paper investigates a class of nonlinear elliptic obstacle problems involving measure data, where the nonlinearity depends on the variable of the possibly unbounded solution itself. We establish pointwise gradient estimates for the solutions in terms of Riesz potentials.
Topics & keywords
#elliptic obstacle problems#nonlinear PDEs#measure data#Riesz potentials#gradient estimatesRiesz potentialnonlinear ellipticobstacle problemmeasure datapointwise gradient estimate