On inequalities of Bliss-Moser type with loss of compactness in ${\mathbb{R}}^N$

Yanyan Guo, Huxiao Luo, Bernhard Ruf

We prove the following Limiting Bliss inequalities \begin{equation}\nonumber \sup\limits_{v(0) = 0, \int_0^1|v'|^Ndx=1 }\int_0^1 e^{β\left(\log\frac{e}{s}\right)\frac{v^N(s)}{s^{N-…