| Autor: |
Duy, Nguyen Tuan, Phi, Le Long |
| Zdroj: |
SCIENCE CHINA Mathematics; 20210101, Issue: Preprints p1-24, 24p |
| Abstrakt: |
The first aim of this article is to study the sharp singular (two-weight) Trudinger-Moser inequalities with Finsler norms on ℝ2. The second goal is to propose a different approach to study a vanishing-concentration-compactness principle for the Trudinger-Moser inequalities and use this to investigate the existence and the nonexistence of the maximizers for the Trudinger-Moser inequalities in the subcritical regions. Finally, by applying our Finsler Trudinger-Moser inequalities to suitable Finsler norms, we derive the sharp affine Trudinger-Moser inequalities which are essentially stronger than the Trudinger-Moser inequalities with standard energy of the gradient. |
| Databáze: |
Supplemental Index |
| Externí odkaz: |
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