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The Dirichlet problem for fully nonlinea...

Guan, Bo...

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The Dirichlet problem for fully nonlinear elliptic equations on Riemannian manifolds by Guan, Bo ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	01-09-2023
Summary	We solve the Dirichlet problem for fully nonlinear elliptic equations on Riemannian manifolds under essentially optimal structure conditions, especially with no restrictions to the curvature of the underlying manifold and the second fundamental form of its boundary. The main result (Theorem 1.1) includes a new (and optimal) result in the Euclidean case. We introduce some new ideas and methods in deriving a priori estimates, which can be used to treat other types of fully nonlinear elliptic and parabolic equations on real or complex manifolds.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1403.2133

Citation

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AMA 11th EditionReferences

Guan, Bo. The Dirichlet problem for fully nonlinear elliptic equations on Riemannian manifolds. Australian National University. September 01, 2023. Accessed August 05, 2025. https://online.provdatabase.com/cite/23220

APA 7th EditionReferences

Guan, Bo. (2023). The Dirichlet problem for fully nonlinear elliptic equations on Riemannian manifolds. Australian National University. https://online.provdatabase.com/cite/23220

Chicago 17th EditionReferences

Guan, Bo. The Dirichlet problem for fully nonlinear elliptic equations on Riemannian manifolds. Australian National University. 2023. https://online.provdatabase.com/cite/23220

HarvardReferences

Guan, Bo. (2023). The Dirichlet problem for fully nonlinear elliptic equations on Riemannian manifolds. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/23220. (Accessed 05 August 2025).

Harvard AustraliaReferences

Guan, Bo, 2023, The Dirichlet problem for fully nonlinear elliptic equations on Riemannian manifolds, Australian National University, viewed 05 August 2025, <https://online.provdatabase.com/cite/23220>

MLA 9th EditionWorks Cited

Guan, Bo. The Dirichlet problem for fully nonlinear elliptic equations on Riemannian manifolds. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/23220.

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