What type of study is this?

This is a Quantitative Study study.

October 16, 2025

Riesz potential estimates for mixed local–nonlocal problems with measure data

Key Points

Pointwise bounds for the gradient were established, demonstrating the effectiveness of Riesz potential estimates.
The study focuses on mixed local–nonlocal problems involving bounded Borel measures in varying dimensions.
Truncated 1-Riesz potential forms the basis for deriving gradient regularity in the given mathematical framework.
Findings contribute to understanding the interplay between local and nonlocal modeling in mathematical analysis.

Abstract

Abstract We study gradient regularity for mixed local–nonlocal problems modeled upon for and , where is a bounded Borel measure and is the ambient dimension. We prove pointwise bounds for the gradient in terms of the truncated 1‐Riesz potential of .

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Cite This Study

Chlebicka et al. (Wed,) studied this question.

synapsesocial.com/papers/68f04935e559138a1a06e27d https://doi.org/https://doi.org/10.1112/jlms.70310

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