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
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-…
math.AP2024
Multiplicity results for a subcritical Hamiltonian system with concave-convex nonlinearities
Oscar Agudelo, Bernhard Ruf, Carlos Velez
We study the {\it Hamiltonian elliptic system} \begin{eqnarray}\label{HS1-abstract} \left\{ \begin{aligned} -Δu & = λ|v|^{r-1}v +|v|^{p-1}v \qquad &\hbox{in} \ \ Ω,\\ -Δv & = μ|u|^…