Riesz potential estimates for non-linear elliptic obstacle problems

2026/07/16 by Qi Xiong, Zhenqiu Zhang, Lingwei Ma
#math.AP

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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.

Citations

• The Wiener test and potential estimates for quasilinear elliptic equations

Related

• Gradient potential estimates in elliptic obstacle problems with Orlicz growth
• Riesz potential estimates for double obstacle problems with Orlicz growth
• Gradient potential estimates for elliptic double obstacle problems with Orlicz growth
• Wolff potential estimates for elliptic obstacle problems with generalized Orlicz growth
• Singular elliptic measure data problems with irregular obstacles