Convex eigenfunction of a drifting Laplacian operator and the fundamental gap

DOI10.2140/pjm.2009.240.343zbMath1162.35059OpenAlexW2070297625MaRDI QIDQ1011635

Li Ma, Baiyu Liu

Publication date: 8 April 2009

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2009.240.343

zbMATH Keywords

eigenvaluedrifting LaplacianHessian estimatefundamental gap

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) General theory of partial differential operators (47F05)

Related Items (18)

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 ⋮ 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 ⋮ Liouville-type theorem for the drifting Laplacian operator ⋮ Gradient estimates for a nonlinear parabolic equation on Riemannian manifolds ⋮ Eigenvalue inequalities for the buckling problem of the drifting Laplacian of arbitrary order ⋮ 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 \(\mathbb S^n\)

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