Anisotropic Moser-Trudinger type inequality in Lorentz space

Abstract

Our main purpose in this paper is to obtain the anisotropic Moser-Trudinger type inequality in Lorentz space $ L(n, q) $, $ 1 \leq q \leq \infty $. It can be seen as a generation result of the Moser-Trudinger type inequality in Lorentz space.

Keywords

• anisotropic
• moser-trudinger inequality
• lorentz space