Spectral and stochastic properties of the \(f\)-Laplacian, solutions of PDEs at infinity and geometric applications

DOI10.4171/RMI/731zbMath1341.35065arXiv1107.1172WikidataQ125622410 ScholiaQ125622410MaRDI QIDQ1955676

Alberto G. Setti, Stefano Pigola, Gregório Pacelli Bessa

Publication date: 17 June 2013

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.1172

zbMATH Keywords

solutionsessential spectrumstochastic completenessgradient Ricci solitonsFeller propertysemilinear elliptic partial differential equationsweighted Laplacians

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Elliptic equations on manifolds, general theory (58J05) Semilinear elliptic equations (35J61) PDEs on manifolds (35R01)

Related Items (15)

Complete bounded \(\lambda\)-hypersurfaces in the weighted volume-preserving mean curvature flow ⋮ Some inequalities for the Omori-Yau maximum principle ⋮ Green functions and the Dirichlet spectrum ⋮ On the \(L ^{1}\)-Liouville property of stochastically incomplete manifolds ⋮ On the uniqueness of complete two-sided hypersurfaces immersed in a class of weighted warped products ⋮ Height estimates and half-space theorems for spacelike hypersurfaces in generalized Robertson-Walker spacetimes ⋮ Stochastic properties of the Laplacian on Riemannian submersions ⋮ Uniqueness of hypersurfaces in weighted product spaces via maximum principles for the drift Laplacian ⋮ Complete self-shrinkers confined into some regions of the space ⋮ Qualitative properties of bounded subsolutions of nonlinear PDEs ⋮ Curvature estimates for submanifolds immersed into horoballs and horocylinders ⋮ Essential spectrum of the weighted Laplacian on noncompact manifolds and applications ⋮ Maximum principle for semi-elliptic trace operators and geometric applications ⋮ The Feller property on Riemannian manifolds ⋮ On submanifolds of highly negatively curved spaces

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