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Weighted Sobolev type inequalities in a smooth metric measure space - MaRDI portal

Weighted Sobolev type inequalities in a smooth metric measure space (Q6152179)

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scientific article; zbMATH DE number 7803620

Language	Label	Description	Also known as
English	Weighted Sobolev type inequalities in a smooth metric measure space	scientific article; zbMATH DE number 7803620

Statements

scholarly article

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Weighted Sobolev type inequalities in a smooth metric measure space (English)

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Journal of Nonlinear Mathematical Physics

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publication date

12 February 2024

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zbMATH Keywords

Sobolev inequality

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Reilly type formula

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smooth metric measure space

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weighted Laplacian

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s44198-024-00168-2

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Sharp Sobolev inequalities on the sphere and the Moser-Trudinger inequality

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Nonlinear elliptic equations on compact Riemannian manifolds and asymptotics of Emden equations

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Problèmes de Neumann non linéaires sur les variétés riemanniennes

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Rigidity of quasi-Einstein metrics

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Sharp stability of log-Sobolev and Moser-Onofri inequalities on the sphere

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Estimates for eigenvalues of weighted Laplacian and weighted \(p\)-Laplacian

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Uniqueness theorems on conformal deformation of metrics, sobolev inequalities, and an eigenvalue estimate

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Liouville-type theorems on manifolds with nonnegative curvature and strictly convex boundary

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Uniqueness results for positive harmonic functions on \(\overline{\mathbb{B}^n}\) satisfying a nonlinear boundary condition

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Some geometric inequalities on Riemannian manifolds associated with the generalized modified Ricci curvature

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Sharp bounds for the first nonzero Steklov eigenvalues for$f$-Laplacians

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Eigenvalue estimates for submanifolds with bounded \(\mathbf{f}\)-mean curvature

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Liouville type theorems of a nonlinear elliptic equation for the \(V\)-Laplacian

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Applications of some elliptic equations in Riemannian manifolds

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Sobolev inequalities on a weighted Riemannian manifold of positive Bakry-Émery curvature and convex boundary

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Liouville theorems for symmetric diffusion operators on complete Riemannian manifolds

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\(f\)-minimal surface and manifold with positive \(m\)-Bakry-Émery Ricci curvature

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Extension of Reilly formula with applications to eigenvalue estimates for drifting Laplacians

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Comparison geometry for the Bakry-Emery Ricci tensor

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Gradient estimates for a nonlinear parabolic equation on complete smooth metric measure spaces

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Eigenvalues of the drifting Laplacian on smooth metric measure spaces

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Global lower bounds on the first eigenvalue for a diffusion operator

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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S44198-024-00168-2

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Sitelinks

Mathematics(1 entry)

mardi Publication:6152179

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