Local boundedness under nonstandard growth conditions
Abstract We consider local boundedness under nonstandard growth conditions. Our approach is based on a suitable adaptation of the celebrated De Giorgi’s iteration method, and it relies on an appropriate Caccioppoli-type inequality that differs from those previously established.
Authors
- Yingxiao Han
- Hua Gao (ORCID: https://orcid.org/0000-0003-3449-7812)
- Liuye Xia
- Mi Fang
Institutions
- Hebei University (CN)
Publication Details
- Journal
- Georgian Mathematical Journal
- Published
- 2026-03-26
- DOI
- https://doi.org/10.1515/gmj-2026-2018
- Primary Topic
- Mathematical and Theoretical Analysis
- Type
- article
- Field-Weighted Citation Impact
- 0.00