Calderón-Zygmund estimates for Schrödinger equations revisited
We establish a global Calderón-Zygmund estimate for a quasilinear elliptic equation with a potential. If the potential has a reverse Hölder property, then the estimate was known in [6]. In this note, we observe that the estimate remains valid when the potential is merely Lebesgue integrable. Our proof is short and elementary.
Authors
- Tan Duc (ORCID: https://orcid.org/0000-0001-5913-6613)
- Le Xuan Truong (ORCID: https://orcid.org/0000-0003-2328-6235)
- Nguyễn Ngọc Trọng (ORCID: https://orcid.org/0000-0002-1582-2424)
Institutions
- University of Economics Ho Chi Minh City (VN)
- Ho Chi Minh City University of Education (VN)
Publication Details
- Journal
- Mathematical Modelling and Analysis
- Published
- 2025-04-18
- DOI
- https://doi.org/10.3846/mma.2025.21702
- Primary Topic
- Advanced Mathematical Physics Problems
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Đại học Kinh tế Thành phố Hồ Chí Minh