Ambrosio, Luigi; Brena, Camillo Stability of a class of action functionals depending on convex functions. (English) Zbl 1518.49015 Discrete Contin. Dyn. Syst. 43, No. 3-4, 993-1005 (2023). Reviewer: Alain Brillard (Riedisheim) MSC: 49J45 47N10 PDFBibTeX XMLCite \textit{L. Ambrosio} and \textit{C. Brena}, Discrete Contin. Dyn. Syst. 43, No. 3--4, 993--1005 (2023; Zbl 1518.49015) Full Text: DOI arXiv
Ambrosio, Luigi; Mondino, Andrea; Savaré, Giuseppe Nonlinear diffusion equations and curvature conditions in metric measure spaces. (English) Zbl 1477.49003 Memoirs of the American Mathematical Society 1270. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3913-2/pbk; 978-1-4704-5513-2/ebook). v, 121 p. (2019). Reviewer: Dimitris P. Vartziotis (Ioannina) MSC: 49-02 49J52 49Q22 35K55 58J35 35K90 31C25 58B20 PDFBibTeX XMLCite \textit{L. Ambrosio} et al., Nonlinear diffusion equations and curvature conditions in metric measure spaces. Providence, RI: American Mathematical Society (AMS) (2019; Zbl 1477.49003) Full Text: DOI Link
Ambrosio, Luigi; Erbar, Matthias; Savaré, Giuseppe Optimal transport, Cheeger energies and contractivity of dynamic transport distances in extended spaces. (English) Zbl 1337.49075 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 137, 77-134 (2016). MSC: 49Q20 49J40 PDFBibTeX XMLCite \textit{L. Ambrosio} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 137, 77--134 (2016; Zbl 1337.49075) Full Text: DOI arXiv
Ambrosio, Luigi; Mondino, Andrea; Savaré, Giuseppe On the Bakry-Émery condition, the gradient estimates and the local-to-global property of \(\mathrm{RCD}^*(K,N)\) metric measure spaces. (English) Zbl 1335.35088 J. Geom. Anal. 26, No. 1, 24-56 (2016). Reviewer: Vasile Oproiu (Iaşi) MSC: 35K05 35K90 31C25 58J35 60J65 PDFBibTeX XMLCite \textit{L. Ambrosio} et al., J. Geom. Anal. 26, No. 1, 24--56 (2016; Zbl 1335.35088) Full Text: DOI arXiv
Ambrosio, Luigi; Gigli, Nicola; Mondino, Andrea; Rajala, Tapio Riemannian Ricci curvature lower bounds in metric measure spaces with \(\sigma\)-finite measure. (English) Zbl 1317.53060 Trans. Am. Math. Soc. 367, No. 7, 4661-4701 (2015). MSC: 53C23 49Q20 58J35 31C25 35K90 53C21 PDFBibTeX XMLCite \textit{L. Ambrosio} et al., Trans. Am. Math. Soc. 367, No. 7, 4661--4701 (2015; Zbl 1317.53060) Full Text: DOI arXiv
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe Bakry-Émery curvature-dimension condition and Riemannian Ricci curvature bounds. (English) Zbl 1307.49044 Ann. Probab. 43, No. 1, 339-404 (2015). Reviewer: Vasile Oproiu (Iaşi) MSC: 49Q20 47D07 30L99 PDFBibTeX XMLCite \textit{L. Ambrosio} et al., Ann. Probab. 43, No. 1, 339--404 (2015; Zbl 1307.49044) Full Text: DOI arXiv Euclid
Ambrosio, Luigi; Gigli, Nicola; Savaré, Giuseppe Metric measure spaces with Riemannian Ricci curvature bounded from below. (English) Zbl 1304.35310 Duke Math. J. 163, No. 7, 1405-1490 (2014). Reviewer: Shu-Yu Hsu (Min-hsiung) MSC: 35K05 53C44 60J65 PDFBibTeX XMLCite \textit{L. Ambrosio} et al., Duke Math. J. 163, No. 7, 1405--1490 (2014; Zbl 1304.35310) Full Text: DOI arXiv Euclid