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Gradient Riesz potential estimates for a general class of measure data quasilinear systems
- Authors
- Chlebicka, Iwona; Kim, Minhyun; Weidner, Marvin
- Issue Date
- Apr-2026
- Publisher
- WALTER DE GRUYTER GMBH
- Keywords
- Gradient estimate; elliptic system; Orlicz growth
- Citation
- ADVANCES IN CALCULUS OF VARIATIONS, v.19, no.2, pp 237 - 269
- Pages
- 33
- Indexed
- SCIE
SCOPUS
- Journal Title
- ADVANCES IN CALCULUS OF VARIATIONS
- Volume
- 19
- Number
- 2
- Start Page
- 237
- End Page
- 269
- ISSN
- 1864-8258
1864-8266
- Abstract
- We study the gradient regularity of solutions to measure data elliptic systems with Uhlenbeck-type structure and Orlicz growth. For any bounded Borel measure, pointwise estimates for the gradient of solutions are provided in terms of the truncated Riesz potential. This allows us to show a precise transfer of regularity from data to solutions on various scales.
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Related Researcher
- Kim, Minhyun
- COLLEGE OF NATURAL SCIENCES (DEPARTMENT OF MATHEMATICS)