A mathematical text:
A. On a nonlinear critical ellitpic equation with a perturbed Hardy potential (2016). Personal notes (not submitted) . Download. pdf .
Publications:
Hardy-Sobolev inequalities with singularities on non smooth boundary: Hardy constant and extremals. Part I: Influence of local geometry, Nonlinear Anal. 182 (2019), 316--349. Download. pdf .
A Paneitz-Branson type equation with neumann boundary condtions, Advances in Calculus of Variations 14 (2021), no. 4, 499–519. With Denis Bonheure and Robson Nascimento. Download. pdf.
Hardy-Sobolev inequalities with singularities on non smooth boundary. Part 2: Influence of the global geometry in small dimensions. Journal of differential equations, 270 (2021), 185-216. Download. pdf.
The second best constant for the Hardy-Sobolev inequality on manifolds. Pacific J. Math. 316 (2022), no. 2, 249–276. Download. pdf.
Fourth order Hardy-Sobolev equations: Singularity and doubly critical exponent. Communications on Pure and Applied Analysis, 22 (2023), no. 11, 3267--3294. Download. pdf.
Compactness results for Sign-Changing Solutions of critical nonlinear elliptic equations of low energy . Analysis & PDE (to appear) (2025). With Bruno Premoselli. Download. pdf.
Ground-state blowing-up solutions for a Hardy-Sobolev equations on a manifold. J Geom Anal 35, 297 (2025). With Frédéric Robert. Download. pdf.
Compactness for the Hardy-Sobolev equation on manifolds. Preprint (2025) . With Saikat Mazumdar. Download. pdf.
Least-energy solutions of the Brézis-Nirenberg problem in the non-coercive case in dimension 3. Preprint (2025). With Bruno Premoselli. Download. pdf.