Sharp Trudinger-Moser inequalities with homogeneous weights

We investigate sharp Trudinger-Moser type inequalities with the homogeneous weight satisfying a natural curvature-dimension bound condition. Also we study the optimal versions of these inequalities with best constants on both finite and infinite volume domains on Euclidean spaces.

Bibliographic Details
Main Authors: Nguyen Tuan Duy, Le Trung Nghia, Le Long Phi
Format: Article
Language:English
Published: Texas State University 2019-09-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2019/105/abstr.html