P. Laurain

collaborators

Showing math.APShow all

2 papers · 1 filter

math.AP2025

Fine multibubble analysis in the higher-dimensional Brezis-Nirenberg problem

Tobias KÃ¶nig, Paul Laurain

For a bounded set $I^c ◯ \subset R^{N}$ and a perturbation $V \in C^{1} (I^c ◯)$ , we analyze the concentration behavior of a blow-up sequence of positive solutions to \[ -Îu_…

math.AP2025

Multibubble blow-up analysis for the Brezis-Nirenberg problem in three dimensions

Tobias KÃ¶nig, Paul Laurain

For a smooth bounded domain $I^c ◯ \subset R^{3}$ and smooth functions $a$ and $V$ , we consider the asymptotic behavior of a sequence of positive solutions $u_{I^} µ$ to $-Îu_Îµ+ (a…