Continuity of nonlinear eigenvalues in $${{\mathrm{CD}}}(K,\infty )$$ CD ( K , ∞ ) spaces with respect to measured Gromov–Hausdorff convergence-Reference-Cited by-同舟云学术

Continuity of nonlinear eigenvalues in $${{\mathrm{CD}}}(K,\infty )$$ CD ( K , ∞ ) spaces with respect to measured Gromov–Hausdorff convergence

Published:2018-02-12 Issue:2 Volume:57 Page:
ISSN:0944-2669
Container-title:Calculus of Variations and Partial Differential Equations
language:en
Short-container-title:Calc. Var.

Author:

Ambrosio Luigi,Honda Shouhei,Portegies Jacobus W.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Link

http://link.springer.com/article/10.1007/s00526-018-1315-0/fulltext.html

Reference27 articles.

1. Lectures in Mathematics ETH Zürich;L Ambrosio,2005

2. Ambrosio, L., Gigli, N., Savaré, G.: Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below. Invent. Math. 195(2), 289–391 (2014)

3. Ambrosio, L., Gigli, N., Savaré, G.: Metric measure spaces with Riemannian Ricci curvature bounded from below. Duke Math. J. 163(7), 1405–1490 (2014)

4. Ambrosio, L., Mondino, A., Savaré, G.: Nonlinear diffusion equations and curvature conditions in metric measure spaces. Mem. AMS (2015) (to appear)

5. Ambrosio, L., Honda, S.: New stability results for sequences of metric measure spaces with uniform Ricci bounds from below In: Measure theory in non-smooth spaces. pp. 1–51, De Gruyter Open, Warsaw (2017)

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Rigidity and almost rigidity of Sobolev inequalities on compact spaces with lower Ricci curvature bounds;Calculus of Variations and Partial Differential Equations;2022-07-12

2. Nonlinear spectrums of Finsler manifolds;Mathematische Zeitschrift;2021-05-29

3. The homotopy significant spectrum compared to the Krasnoselskii spectrum;Indagationes Mathematicae;2020-11

4. Numerical approximations for fractional elliptic equationsviathe method of semigroups;ESAIM: Mathematical Modelling and Numerical Analysis;2020-04-02

5. Upper bounds for higher-order Poincaré constants;Transactions of the American Mathematical Society;2020-03-09