Sharp anisotropic singular Trudinger-Moser inequalities in the entire space

Kaiwen Guo, Yanjun Liu

In this paper, we investigate sharp singular Trudinger-Moser inequalities involving the anisotropic Dirichlet norm ${\left({\int }_{\Omega }{F}^N(\nabla u)\mathrm{d}x\right)}^{\frac{1}{N}}$ i…