10 citations · 12 across the 2 of their papers we have counts for
3 papers
math.AP2025★ 10 cited
Fine multibubble analysis in the higher-dimensional Brezis-Nirenberg problem
Tobias König, Paul Laurain
For a bounded set and a perturbation , we analyze the concentration behavior of a blow-up sequence of positive solutions to \[ -Îu_…
math.AP2025★ 2 cited
Multibubble blow-up analysis for the Brezis-Nirenberg problem in three dimensions
Tobias König, Paul Laurain
For a smooth bounded domain and smooth functions and , we consider the asymptotic behavior of a sequence of positive solutions to $-Îu_ε+ (a…
math.AP2024
Non-degeneracy, stability and symmetry for the fractional Caffarelli-Kohn-Nirenberg inequality
Nicola De Nitti, Federico Glaudo, Tobias König
The fractional Caffarelli-Kohn-Nirenberg inequality states that $$ \int_{\mathbb{R}^n}\int_{\mathbb{R}^n} \frac{(u(x)-u(y))^2}{|x|^α|x-y|^{n+2s} |y|^α} \mathrm{d} x \, \mathrm{d}…