Augmented Hessian equations on Riemannian manifolds: from integral to pointwise local second derivative estimates (Q6086073)

scientific article; zbMATH DE number 7763101

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English	Augmented Hessian equations on Riemannian manifolds: from integral to pointwise local second derivative estimates	scientific article; zbMATH DE number 7763101

Statements

instance of

scholarly article

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title

Augmented Hessian equations on Riemannian manifolds: from integral to pointwise local second derivative estimates (English)

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author

Jonah A. J. Duncan

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published in

Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods

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publication date

9 November 2023

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full work available at URL

https://arxiv.org/abs/2302.07325

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zbMATH Keywords

augmented Hessian equations on Riemannian manifolds

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a priori estimates

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MaRDI profile type

MaRDI publication profile

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cites work

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Fully nonlinear equations on Riemannian manifolds with negative curvature

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Oblique boundary value problems for augmented Hessian equations III

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On the Dirichlet problem for general augmented Hessian equations

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On the Dirichlet problem for a class of augmented Hessian equations

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Estimates and existence results for a fully nonlinear Yamabe problem on manifolds with boundary

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On some conformally invariant fully nonlinear equations

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Solutions to the σ<sub>k</sub>-Loewner-Nirenberg Problem on Annuli are Locally Lipschitz and Not Differentiable

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Existence and Uniqueness of Green's Functions to Nonlinear Yamabe Problems

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The local regularity for strong solutions of the Hessian quotient equation

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On the regularity of solutions of optimal transportation problems

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Regularity of potential functions of the optimal transportation problem

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Hessian estimates for convex solutions to quadratic Hessian equation

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Q4169389

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Hessian estimate for semiconvex solutions to the sigma-2 equation

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Q5758550

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Some interior regularity results for solutions of Hessian equations

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Conformal geometry, contact geometry, and the calculus of variations

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Estimates and existence results for some fully nonlinear elliptic equations on Riemannian manifolds

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On the design of a reflector antenna

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A priori estimates and existence for a class of fully nonlinear elliptic equations in conformal geometry

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Hessian estimates for the sigma‐2 equationin dimension 3

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Identifiers

zbMATH Open document ID

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10.1016/j.na.2023.113396

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6086073