Convexity of the first eigenfunction of the drifting Laplacian operator and its applications

zbMath1156.35065MaRDI QIDQ942246

Li Ma, Baiyu Liu

Publication date: 5 September 2008

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/129645

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Estimates of eigenvalues in context of PDEs (35P15)

Related Items (23)

Estimates for eigenvalues of the elliptic operator in divergence form on Riemannian manifolds ⋮ Eigenvalue inequalities for the buckling problem of the drifting Laplacian on Ricci solitons ⋮ Universal inequalities for eigenvalues of a system of elliptic equations of the drifting Laplacian ⋮ Universal inequalities of the poly-drifting Laplacian on smooth metric measure spaces ⋮ Extension of Reilly formula with applications to eigenvalue estimates for drifting Laplacians ⋮ Liouville's theorem for the drifting Laplacian ⋮ Universal inequalities for eigenvalues of a clamped plate problem of the drifting Laplacian ⋮ Reilly's type inequality for the Laplacian associated to a density related with shrinkers for MCF ⋮ About bounds for eigenvalues of the Laplacian with density ⋮ Inequalities for eigenvalues of the drifting Laplacian on Riemannian manifolds ⋮ Eigenvalue estimates and \(L^{1}\) energy on closed manifolds ⋮ Universal inequalities of the poly-drifting Laplacian on the Gaussian and cylinder shrinking solitons ⋮ Estimates for eigenvalues of a system of elliptic equations with drift and of bi-drifting Laplacian ⋮ Unnamed Item ⋮ Eigenvalue problems on Riemannian manifolds with a modified Ricci tensor ⋮ Spectral gaps for self-adjoint second order operators ⋮ Liouville-type theorem for the drifting Laplacian operator ⋮ Eigenvalue estimates for a class of elliptic differential operators in divergence form ⋮ Gradient estimates for a nonlinear parabolic equation on Riemannian manifolds ⋮ Eigenvalue inequalities for the buckling problem of the drifting Laplacian of arbitrary order ⋮ Estimates of eigenvalues of an elliptic differential system in divergence form ⋮ Estimates for eigenvalues of the bi-drifting Laplacian operator ⋮ Universal bounds for eigenvalues of the polydrifting Laplacian operator in compact domains in the \(\mathbb R^n\) and \(\mathbb S^n\)

This page was built for publication: Convexity of the first eigenfunction of the drifting Laplacian operator and its applications