On a weighted Trudinger-Moser type inequality on the whole space and related maximizing problem
Analysis of PDEs
2017-05-03 v2
Abstract
In this paper, we establish a weighted Trudinger-Moser type inequality with the full Sobolev norm constraint on the whole Euclidean space. Main tool is the singular Trudinger-Moser inequality on the whole space recently established by Adimurthi and Yang, and a transformation of functions. We also discuss the existence and non-existence of maximizers for the associated variational problem.
Keywords
Cite
@article{arxiv.1703.05934,
title = {On a weighted Trudinger-Moser type inequality on the whole space and related maximizing problem},
author = {Van Hoang Nguyen and Futoshi Takahashi},
journal= {arXiv preprint arXiv:1703.05934},
year = {2017}
}