JOURNAL ARTICLE

Viscosity solutions to second order partial differential equations on Riemannian manifolds

Daniel AzagraJuan FerreraBeatriz Sanz

Year: 2008 Journal:   Journal of Differential Equations Vol: 245 (2)Pages: 307-336   Publisher: Elsevier BV
Keywords:
Mathematics Uniqueness Riemannian manifold Mathematical analysis Sectional curvature Partial differential equation Order (exchange) Partial derivative Viscosity Elliptic partial differential equation Variable (mathematics) Degenerate energy levels Nonlinear system Curvature Manifold (fluid mechanics) Function (biology) Pure mathematics Scalar curvature Geometry Physics

Metrics

42
Cited By
4.95
FWCI (Field Weighted Citation Impact)
17
Refs
0.96
Citation Normalized Percentile
Is in top 1%
Is in top 10%

Citation History

Topics

Nonlinear Partial Differential Equations
Physical Sciences →  Mathematics →  Applied Mathematics
Nonlinear Differential Equations Analysis
Physical Sciences →  Mathematics →  Applied Mathematics
Advanced Mathematical Modeling in Engineering
Physical Sciences →  Computer Science →  Computational Theory and Mathematics

Related Documents

JOURNAL ARTICLE

Second–order multivalued stochastic differential equations on Riemannian manifolds

Frédéric BernardinMichelle SchatzmanClaude‐Henri Lamarque

Journal:   Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences Year: 2004 Vol: 460 (2051)Pages: 3095-3121
JOURNAL ARTICLE

Viscosity Solutions to Second Order Parabolic PDEs on Riemannian Manifolds

Xuehong Zhu

Journal:   Acta Applicandae Mathematicae Year: 2011 Vol: 115 (3)Pages: 279-290
JOURNAL ARTICLE

Viscosity solutions of fully nonlinear second-order elliptic partial differential equations

Hitoshi IshiiPierre‐Louis Lions

Journal:   Journal of Differential Equations Year: 1990 Vol: 83 (1)Pages: 26-78
JOURNAL ARTICLE

User’s guide to viscosity solutions of second order partial differential equations

Michael G. CrandallHitoshi IshiiPierre-Louis Lions

Journal:   Bulletin of the American Mathematical Society Year: 1992 Vol: 27 (1)Pages: 1-67
© 2026 ScienceGate Book Chapters — All rights reserved.