Maximum Principles for Inhomogeneous Elliptic Inequalities on Complete Riemannian Manifolds

DOI10.1515/ans-2009-0301zbMath1183.58019OpenAlexW2185749029WikidataQ115237002 ScholiaQ115237002MaRDI QIDQ3397554

Dimitri Mugnai, Patrizia Pucci

Publication date: 22 September 2009

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2009-0301

zbMATH Keywords

maximum principleelliptic inequalities on manifolds

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45) Elliptic equations on manifolds, general theory (58J05)

Related Items (5)

Isoperimetric inequalities and geometry of level curves of harmonic functions on smooth and singular surfaces ⋮ On the nonlinear Schrödinger equation on the Poincaré ball model ⋮ A time-dependent obstacle problem in linearised elasticity ⋮ Quasi uniformity for the abstract Neumann antimaximum principle and applications with a priori estimates ⋮ Kirchhoff-type problems on a geodesic ball of the hyperbolic space

Cites Work

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• An eigenvalue problem for a quasilinear elliptic field equation
• A sharp four dimensional isoperimetric inequality
• The strong maximum principle revisited.
• A maximum principle for mean-curvature type elliptic inequalities
• The Zero Scalar Curvature Yamabe problem on noncompact manifolds with boundary
• On the uniqueness of the foliation of spheres of constant mean curvature in asymptotically flat 3-manifolds
• A new proof of de Giorgi's theorem concerning the regularity problem for elliptic differential equations
• Maximum principles on Riemannian manifolds and applications
• Elliptic equations of Yamabe type

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