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 41 (5), 1289-1321, 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 for the logarithmic Sobolev inequality G Brigati, J Dolbeault, N Simonov Journal of Functional Analysis 287 (8), 110562, 2024 | 7 | 2024 |
Stability in Gagliardo-Nirenberg inequalities-Supplementary material M Bonforte, J Dolbeault, B Nazaret, N Simonov arXiv preprint arXiv:2007.03419, 2020 | 7 | 2020 |
On Gaussian interpolation inequalities G Brigati, J Dolbeault, N Simonov Comptes Rendus. Mathématique 362 (G1), 21-44, 2024 | 6 | 2024 |
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, 2007 | 5 | 2007 |
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 |
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 |
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 |