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

DOI10.1007/s00526-018-1315-0zbMath1392.49008arXiv1706.08368OpenAlexW2963072495MaRDI QIDQ1751572

Luigi Ambrosio, Shouhei Honda, Jacobus W. Portegies

Publication date: 25 May 2018

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.08368

zbMATH Keywords

stabilityLaplace operatornonlinear eigenvaluesGromov-Hausdorff convergenceKrasnoselskii spectrum

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Existence of solutions for minimax problems (49J35) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Variational methods for eigenvalues of operators (49R05)

Related Items (6)

Rigidity and almost rigidity of Sobolev inequalities on compact spaces with lower Ricci curvature bounds ⋮ Numerical approximations for fractional elliptic equationsviathe method of semigroups ⋮ Upper bounds for higher-order Poincaré constants ⋮ The homotopy significant spectrum compared to the Krasnoselskii spectrum ⋮ Rigidity for positive Ricci curvature via metric measure geometry ⋮ Nonlinear spectrums of Finsler manifolds

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