3 papers
math.AP2026
Existence and non-existence of extremal functions for inequalities of Bliss-Moser type
Yanyan Guo, Huxiao Luo, Bernhard Ruf
We establish a concentration--compactness theory for a one-dimensional singular Moser-type functional with logarithmic weight function $$\sup\limits_{v\in E }\int_0^1 e^{\left(\log…
math.AP2025
Fractional Trudinger-Moser type inequalities with logarithmic convolution potentials
Huxiao Luo, Shiying Wang
We establish the following fractional Trudinger-Moser type inequality with logarithmic convolution potential $$ \sup_{u\in W^{\frac{1}{2},2}_0(I),\|u\|_{W_0^{\frac{1}{2},2}}\leq1}\…
math.AP2025
On inequalities of Bliss-Moser type with loss of compactness in
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-…