Dolbeault, Jean; Zhang, An Parabolic methods for ultraspherical interpolation inequalities. (English) Zbl 1518.58014 Discrete Contin. Dyn. Syst. 43, No. 3-4, 1347-1365 (2023). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 58J35 26D10 35K65 47D07 35B65 53C21 PDFBibTeX XMLCite \textit{J. Dolbeault} and \textit{A. Zhang}, Discrete Contin. Dyn. Syst. 43, No. 3--4, 1347--1365 (2023; Zbl 1518.58014) Full Text: DOI arXiv
Dolbeault, Jean Functional inequalities: nonlinear flows and entropy methods as a tool for obtaining sharp and constructive results. (English) Zbl 1481.35006 Milan J. Math. 89, No. 2, 355-386 (2021). MSC: 35-02 35A23 26D10 35B06 35J60 35K55 46B70 46E35 49J40 49K20 49K30 53C21 PDFBibTeX XMLCite \textit{J. Dolbeault}, Milan J. Math. 89, No. 2, 355--386 (2021; Zbl 1481.35006) Full Text: DOI arXiv
Dolbeault, Jean; Esteban, Maria J. Improved interpolation inequalities and stability. (English) Zbl 1437.26018 Adv. Nonlinear Stud. 20, No. 2, 277-291 (2020). MSC: 26D10 46E35 58E35 PDFBibTeX XMLCite \textit{J. Dolbeault} and \textit{M. J. Esteban}, Adv. Nonlinear Stud. 20, No. 2, 277--291 (2020; Zbl 1437.26018) Full Text: DOI arXiv Link
Dolbeault, Jean; García-Huidobro, Marta; Manásevich, Rául Interpolation inequalities in \(\text{W}^{1,p}(\mathbb{S}^1)\) and carré du champ methods. (English) Zbl 1479.35476 Discrete Contin. Dyn. Syst. 40, No. 1, 375-394 (2020). MSC: 35J92 35K92 49K15 58J35 PDFBibTeX XMLCite \textit{J. Dolbeault} et al., Discrete Contin. Dyn. Syst. 40, No. 1, 375--394 (2020; Zbl 1479.35476) Full Text: DOI arXiv
Dolbeault, Jean; Li, Xingyu \(\varphi\)-entropies: convexity, coercivity and hypocoercivity for Fokker-Planck and kinetic Fokker-Planck equations. (English) Zbl 1411.82032 Math. Models Methods Appl. Sci. 28, No. 13, 2637-2666 (2018). MSC: 82C40 76P05 35K65 35H10 35P15 35Q83 35Q84 PDFBibTeX XMLCite \textit{J. Dolbeault} and \textit{X. Li}, Math. Models Methods Appl. Sci. 28, No. 13, 2637--2666 (2018; Zbl 1411.82032) Full Text: DOI arXiv
Dolbeault, Jean; Esteban, Maria J.; Laptev, Ari; Loss, Michael Magnetic rings. (English) Zbl 1390.81142 J. Math. Phys. 59, No. 5, 051504, 10 p. (2018). MSC: 81Q05 81Q70 30H10 47A63 PDFBibTeX XMLCite \textit{J. Dolbeault} et al., J. Math. Phys. 59, No. 5, 051504, 10 p. (2018; Zbl 1390.81142) Full Text: DOI arXiv
Dolbeault, Jean; Kowalczyk, Michał Uniqueness and rigidity in nonlinear elliptic equations, interpolation inequalities, and spectral estimates. (English. French summary) Zbl 1397.35109 Ann. Fac. Sci. Toulouse, Math. (6) 26, No. 4, 949-977 (2017). Reviewer: Florin Catrina (New York) MSC: 35J91 35J25 PDFBibTeX XMLCite \textit{J. Dolbeault} and \textit{M. Kowalczyk}, Ann. Fac. Sci. Toulouse, Math. (6) 26, No. 4, 949--977 (2017; Zbl 1397.35109) Full Text: DOI arXiv
Dolbeault, Jean; Esteban, Maria J.; Loss, Michael Interpolation inequalities on the sphere: linear vs. nonlinear flows. (English. French summary) Zbl 1372.58017 Ann. Fac. Sci. Toulouse, Math. (6) 26, No. 2, 351-379 (2017). Reviewer: Dian K. Palagachev (Bari) MSC: 58J35 26D10 35J60 PDFBibTeX XMLCite \textit{J. Dolbeault} et al., Ann. Fac. Sci. Toulouse, Math. (6) 26, No. 2, 351--379 (2017; Zbl 1372.58017) Full Text: DOI arXiv
Dolbeault, Jean; Esteban, Maria J.; Jankowiak, Gaspard Onofri inequalities and rigidity results. (English) Zbl 1359.58015 Discrete Contin. Dyn. Syst. 37, No. 6, 3059-3078 (2017). MSC: 58J35 58J05 53C21 35J60 35K55 PDFBibTeX XMLCite \textit{J. Dolbeault} et al., Discrete Contin. Dyn. Syst. 37, No. 6, 3059--3078 (2017; Zbl 1359.58015) Full Text: DOI arXiv
Dolbeault, Jean; Esteban, Maria J.; Loss, Michael Rigidity versus symmetry breaking via nonlinear flows on cylinders and Euclidean spaces. (English) Zbl 1379.49021 Invent. Math. 206, No. 2, 397-440 (2016). Reviewer: Antonio De Nicola (Fisciano) MSC: 49K30 35J20 35A23 53C21 49Q20 PDFBibTeX XMLCite \textit{J. Dolbeault} et al., Invent. Math. 206, No. 2, 397--440 (2016; Zbl 1379.49021) Full Text: DOI arXiv
Dolbeault, Jean; Esteban, Maria J.; Jankowiak, Gaspard The Moser-Trudinger-Onofri inequality. (English) Zbl 1347.46024 Chin. Ann. Math., Ser. B 36, No. 5, 777-802 (2015). MSC: 46E35 26D10 35K55 58J60 PDFBibTeX XMLCite \textit{J. Dolbeault} et al., Chin. Ann. Math., Ser. B 36, No. 5, 777--802 (2015; Zbl 1347.46024) Full Text: DOI arXiv