Adams-type inequalities with logarithmic weights in fractional dimensions and the existence of extremals

2025/02/20 by Rou Jiang, Wenyan Xu, Caifeng Zhang +1
Mathematics · #Analytic and geometric function theory #Nonlinear Partial Differential Equations #Numerical methods in inverse problems

paper · doi:10.1016/j.bulsci.2025.103586

openalex publication_date 2025/02/20 · crossref created 2025/02/20 · crossref deposited 2025/03/03 · crossref issued 2025/04/01 · crossref published 2025/04/01 · crossref published-print 2025/04/01 · openalex created_date 2025/10/10 · crossref indexed 2026/07/29 · openalex updated_date 2026/07/29

Citations

• Trudinger–Moser type inequalities with logarithmic weights in dimension N
• Extremal function for Moser-Trudinger type Inequality with Logarithmic weight
• A Sharp Adams-Type Inequality for Weighted Sobolev Spaces
• Sharp Sobolev and Adams–Trudinger–Moser embeddings on weighted Sobolev spaces and their applications