Publications

(with J. H. Andrade, J. Ratzkin, J. Wei) Quantitative stability of the total Q-curvature near minimizing metrics. Preprint (2024).

(with N. de Nitti, F. Glaudo) Non-degeneracy, stability and symmetry for the fractional Caffarelli-Kohn-Nirenberg inequality. Preprint (2024).

Stability for the Sobolev inequality: existence of a minimizer. Preprint (2022), accepted for publication in J. Eur. Math. Soc.

(with P. Laurain) Multibubble blow-up analysis for the Brezis-Nirenberg problem in three dimensions. Preprint (2022), submitted. 

(with R. Frank, H. Kovarik) Blow-up of solutions of critical elliptic equations in three dimensions. Analysis & PDE, Vol. 17, No. 5 (2024), 1633-1692. Article, Preprint. 

An exceptional property of the one-dimensional Bianchi-Egnell inequality. Calc. Var. Partial Differ. Equ. 63, 123 (2024). Article, Preprint.

(with P. Laurain) Fine multibubble analysis in the higher-dimensional Brezis-Nirenberg problem. Ann. Inst. Henri Poincaré, Anal. Non Linéaire (2023), online first. Article, Preprint. 

(with N. De Nitti) Stability with explicit constants of the critical points of the fractional Sobolev inequality and applications to fast diffusion, J. Funct. Anal. 285 (2023), 110093. Article, Preprint.

On the sharp constant in the Bianchi-Egnell stability inequality. Bulletin of the London Mathematical Society, Vol. 55, Issue 4 (2023), 2070-2075 Article, Preprint. 

(with N. De Nitti) Critical functions and blow-up asymptotics for the fractional Brezis-Nirenberg problem in low dimension. Calc. Var. Partial Differ. Equ. 62, 114 (2023) Article, Preprint.

(with Y. Wang) Singular metrics of constant negative Q-curvature in Euclidean spaces. Nonlinear Analysis, Vol. 232, July 2023, 113253. Article, Preprint.

(with P. Laurain) Constant Q-curvature metrics with a singularity. Transactions of the AMS, Vol. 375, No. 4 (2022), 2915–2948. Article, Preprint.

(with R. Frank, H. Tang) Reverse conformally invariant Sobolev inequalities on the sphere, J. Funct. Anal. 282 (2022), 109339. Article, Preprint.

(with R. Frank, H. Kovarik) Energy asymptotics in the three-dimensional Brezis-Nirenberg problem, Calc. Var. Partial Differ. Equ. 60, 58 (2021). Article, Preprint.

(with R. Frank, H. Tang) Classification of solutions of an equation related to a conformal log-Sobolev inequality, Adv. Math. 375 (2020), 107395 . Article, Preprint.

(with R. Frank, H. Kovarik) Energy asymptotics in the Brezis-Nirenberg problem. The higher-dimensional case, Mathematics in Engineering , Vol. 2, No. 1 (2020), 119-140. Article, Preprint.

(with L. Emmert, R. Frank) Liquid Drop Model for nuclear matter in the dilute limit, SIAM J. Math. Anal., Vol. 52, No. 2 (2020) 1980–1999. Article, Preprint.

(with R. Frank) Singular solutions to a semilinear biharmonic equation with a general critical nonlinearity, Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl., Vol. 30, No. 4 (2019), 817-846, Article, Preprint.

(with R. Frank) Classification of positive singular solutions to a nonlinear biharmonic equation with critical exponent, Analysis & PDE, Vol. 12, No. 4 (2019), 1101-1113. Article, Preprint.