The singular anisotropic Adams' type inequality in $ \mathbb{R}^n $
Abstract
In this paper, using anisotropic rearrangement techniques, we first establish the best constants for the singular anisotropic Adams' type inequality with exact growth in $ \mathbb{R}^n $. Furthermore, by the same trick, we also prove the singular anisotropic Adams' type inequality on bounded domain $ \Omega\subset \mathbb{R}^n $.
Fields of Study & Subjects
Nonlinear Partial Differential Equations
Advanced Harmonic Analysis Research
Analytic and geometric function theory
Publication details
- Journal / source
- Discrete and Continuous Dynamical Systems
- Volume
- 58
- Issue
- 0
- Pages
- 1–21
- Publication date
- 21 July 2026