Some inequalities for the Omori-Yau maximum principle

DOI10.1155/2015/410896zbMath1433.35438OpenAlexW1915621742WikidataQ59101624 ScholiaQ59101624MaRDI QIDQ1668897

Kyusik Hong

Publication date: 29 August 2018

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/410896

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) Second-order elliptic equations (35J15) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) PDEs on manifolds (35R01)

Cites Work

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• An Omori-Yau maximum principle for semi-elliptic operators and Liouville-type theorems
• Maximum principle for semi-elliptic trace operators and geometric applications
• The Ahlfors-Schwarz lemma in several complex variables
• On the Omori-Yau maximum principle and its applications to differential equations and geometry
• Spectral and stochastic properties of the \(f\)-Laplacian, solutions of PDEs at infinity and geometric applications
• A general form of the weak maximum principle and some applications
• Isometric immersions of Riemannian manifolds
• On the Omori-Yau almost maximum principle
• A Generalized Maximum Principle and its Applications in Geometry
• Harmonic functions on complete riemannian manifolds
• A volume estimate for strong subharmonicity and maximum principle on complete Riemannian manifolds
• Maximum principles on Riemannian manifolds and applications
• A remark on the maximum principle and stochastic completeness

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