35 citations · 82 across the 31 of their papers we have counts for
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math.AP2020
Quantitative Stability for Minimizing Yamabe Metrics
Max Engelstein, Robin Neumayer, Luca Spolaor
On any closed Riemannian manifold of dimension , we prove that if a function nearly minimizes the Yamabe energy, then the corresponding conformal metric is close, in a qua…
math.AP2020★ 1 cited
On the logarithmic epiperimetric inequality for the obstacle problem
Luca Spolaor, Bozhidar Velichkov
We give three different proofs of the log-epiperimetric inequality at singular points for the obstacle problem. In the first, direct proof, we write the competitor explicitly; the…
math.DG2020★ 3 cited
Singular behavior and generic regularity of min-max minimal hypersurfaces
Otis Chodosh, Yevgeny Liokumovich, Luca Spolaor
We show that for a generic -dimensional Riemannian manifold with positive Ricci curvature, there exists a smooth minimal hypersurface. Without the curvature condition, we show t…