Papers & Preprints 

• M. Bonforte, N. Simonov, Quantitative a priori estimates for fast diffusion equations with Caffarelli–Kohn–Nirenberg weights. Harnack inequalities and Hölder continuity, (87 pages), 2019, Adv. Math,  Arxiv

• M. Bonforte, N. Simonov, Fine properties of solutions to the Cauchy problem for a Fast Diffusion Equation with Caffarelli-Kohn-Nirenberg weights, 2021, to appear in Ann. Inst. Henri Poincare, Anal. Non Lineaire, Arxiv

• M. Bonforte, J. Dolbeault, B. Nazaret, N. Simonov, Stability for  Gagliardo-Nirenberg-Sobolev inequalities: flow, regularity and the entropy method,  HAL, ArXiv, Accepted in Memoir of the AMS

    --> If you are interested in this paper you should have a look at the OWPDE by Jean Dolbeault

• M. Bonforte, N. Simonov, D. Stan, Global Harnack Principle for the fast p-Laplace equation. Journal de Mathématiques Pures et Appliquées

• I. Chlebicka, N. Simonov, Functional inequalities and applications to doubly nonlinear diffusion equations, Advances in Calculus of Variations, ArXiv

• M. Bonforte, J. Dolbeault, B. Nazaret, N. Simonov, Constructive stability results in interpolation inequalities and explicit improvements of decay rates of fast diffusion equations, Discrete and Continuous Dynamical Systems, Arxiv

• G. Brigati, J. Dolbeault, N. Simonov, Logarithmic Sobolev and interpolation inequalities on the sphere: constructive stability results,     Ann. Inst. Henri Poincare, Anal. Non Lineaire, Arxiv

• G. Brigati, J. Dolbeault, N. Simonov, On Gaussian interpolation inequalities, Comptes Rendus - Série Mathématique, Arxiv, published-version

• G. Brigati, J. Dolbeault, N. Simonov, Stability for the logarithmic Sobolev inequality, Journal of Functional Analysis, Arxiv, HAL

• M. Bonforte, I. Chlebicka, N. Simonov, Refined asymptotics for the Cauchy problem for the fast p-Laplace evolution equation, Arxiv

• D. Chafaï, M. Fathi, N. Simonov, On the cutoff phenomenon for fast diffusion and porous medium equations, Arxiv, 

• G. Brigati, J. Dolbeault, N. Simonov, Logarithmic Sobolev inequality: a review on stability and instability results, Arxiv

• G. Grillo, M. Muratori, T. Petitt, N. Sinonov, A porous medium equation with rough weights: sharp Widder theory, Arxiv