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20152025
most citedStability of the Pohožaev obstrucion in dimension 3

15 citations · 54 across the 11 of their papers we have counts for

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7 papers · 1 filter

math.DG2022★ 11 cited

Concentration of CMC Surfaces in a 3-manifold

Paul Laurain

We prove that simply connected H-surfaces with small diameter in a 3-manifold necessarily concentrate at a critical point of the scalar curvature.

math.DG2022★ 6 cited

Asymptotic analysis for surfaces with large constant mean curvature and free boundaries

Paul Laurain

We prove that simply connected H-surfaces with bounded area and free boundary in a domain necessarily concentrate at a critical point of the mean curvature of the boundary of this…

math.AP2022★ 15 cited

Stability of the Pohožaev obstrucion in dimension 3

Olivier Druet, Paul Laurain

We investigate problems connected to the stability of the wellknown Pohožaev obstruction. We generalize results which were obtained in the minimizing setting by Brezis and Nirenber…

math.DG2022★ 7 cited

An Obstruction to the Existence of Immersed Curves of Prescribed Curvature

Stephane Kirsch, Paul Laurain

Here are the proofs of your article. You can submit your corrections online or by fax. For online submission please insert your corrections in the online correc…

math.AP2022★ 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 \[ -Δu_ε+…

math.AP2022★ 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 $-Δu_ε+ (a+εV)…