On a weighted Adachi-Tanaka type Trudinger-Moser inequality in nonradial Sobolev spaces
Summary: In this article we establish a Trudinger-Moser inequality of Adachi-Tanaka type in nonradial weighted Sobolev spaces for functions defined on the whole \(\mathbb{R}^N\). The main tools are the Besecovitch covering lemma and a Trudinger-Moser inequality on the whole space established by S. Adachi and K. Tanaka.
scientific article; zbMATH DE number 7367457
scientific article