Stability in Gagliardo-Nirenberg-Sobolev inequalities: flows, regularity and the entropy method M Bonforte, J Dolbeault, B Nazaret, N Simonov
35 2022 Quantitative a priori estimates for fast diffusion equations with Caffarelli–Kohn–Nirenberg weights. Harnack inequalities and Hölder continuity M Bonforte, N Simonov
Advances in Mathematics 345, 1075-1161, 2019
24 2019 Logarithmic Sobolev and interpolation inequalities on the sphere: constructive stability results G Brigati, J Dolbeault, N Simonov
Annales de l'Institut Henri Poincaré C, 2023
13 2023 Fine properties of solutions to the Cauchy problem for a fast diffusion equation with Caffarelli–Kohn–Nirenberg weights M Bonforte, N Simonov
Annales de l'Institut Henri Poincaré C 40 (1), 1-59, 2022
13 2022 The Cauchy problem for the fast p-Laplacian evolution equation. Characterization of the global Harnack principle and fine asymptotic behaviour M Bonforte, N Simonov, D Stan
Journal de Mathématiques Pures et Appliquées 163, 83-131, 2022
9 2022 Fast diffusion equations with Caffarelli-Kohn-Nirenberg weights: regularity and asymptotics N Simonov
Universidad Autónoma de Madrid, 2020
9 2020 Stability in Gagliardo-Nirenberg inequalities-Supplementary material M Bonforte, J Dolbeault, B Nazaret, N Simonov
arXiv preprint arXiv:2007.03419, 2020
7 2020 Stability in Gagliardo-Nirenberg-Sobolev inequalities M Bonforte, J Dolbeault, B Nazaret, N Simonov
Preprint hal-02887010 and, 2020
5 2020 Stability in Gagliardo–Nirenberg–Sobolev inequalities: flows, regularity and the entropy method. Preprint (2021) M Bonforte, J Dolbeault, B Nazaret, N Simonov
arXiv preprint arXiv:2007.03674, 0
5 Explicit constants in Harnack inequalities and regularity estimates, with an application to the fast diffusion equation M Bonforte, J Dolbeault, B Nazaret, N Simonov
4 2020 Stability in Gagliardo-Nirenberg inequalities M Bonforte, J Dolbeault, B Nazaret, N Simonov
arXiv preprint arXiv:2007.03674, 2020
4 2020 Stability for the logarithmic Sobolev inequality G Brigati, J Dolbeault, N Simonov
arXiv preprint arXiv:2303.12926, 2023
3 2023 On Gaussian interpolation inequalities G Brigati, J Dolbeault, N Simonov
arXiv preprint arXiv:2302.03926, 2023
2 2023 Constructive stability results in interpolation inequalities and explicit improvements of decay rates of fast diffusion equations M Bonforte, J Dolbeault, B Nazaret, N Simonov
arXiv preprint arXiv:2202.09693, 2022
2 2022 On Gaussian interpolation inequalities G Brigati, J Dolbeault, N Simonov
Comptes Rendus. Mathématique 362 (G1), 21-44, 2024
1 2024 Refined asymptotics for the Cauchy problem for the fast -Laplace evolution equation M Bonforte, I Chlebicka, N Simonov
arXiv preprint arXiv:2405.05405, 2024
2024 Corrigendum to “Logarithmic Sobolev and interpolation inequalities on the sphere: Constructive stability results” G Brigati, J Dolbeault, N Simonov
Annales de l'Institut Henri Poincaré C, 2024
2024 Functional inequalities and applications to doubly nonlinear diffusion equations I Chlebicka, N Simonov
Advances in Calculus of Variations 17 (2), 467-485, 2024
2024