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.AP2026
Existence, non-degeneracy and local uniqueness of multi-peak solutions to the fractional Schrödinger equation with nearly critical exponent in
Yanyan Guo, Ying Li, Zhongyuan Liu +1
In this paper, we consider the following fractional Schrödinger equation \begin{equation*} \left\{ \begin{array}{lcl} (-Δ)^{s}u+V(x)u=u^{{p_s}-ε}\ \ \ &\hbox{in}\ \mathbb{R}^N,\\ u…
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-…