Gagliardo–Nirenberg–Sobolev inequalities in John domains
We build up a Gagliardo–Nirenberg–Sobolev inequality in John domains and, conversely, under an extra separation property, we show that a bounded domain supporting such a Gagliardo–Nirenberg–Sobolev inequality should be a John domain.
Authors
- Zeming Wang (ORCID: https://orcid.org/0009-0001-0612-5950)
- Yuan Zhou (ORCID: https://orcid.org/0000-0003-2426-1371)
- Dachun Yang (ORCID: https://orcid.org/0000-0001-9024-3345)
Institutions
- Beijing Normal University (CN)
Publication Details
- Journal
- Annales Fennici Mathematici
- Published
- 2024-12-18
- DOI
- https://doi.org/10.54330/afm.154980
- Citations
- 2
- Primary Topic
- Nonlinear Partial Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 1.95
Funders
- National Natural Science Foundation of China
- National Key Research and Development Program of China
- Fundamental Research Funds for the Central Universities