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Pogorelov estimates for a class of fully nonlinear equations

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Publication:1979270
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DOI10.1016/j.na.2021.112482zbMath1473.35223OpenAlexW3174947983MaRDI QIDQ1979270

Xiaojuan Chen, Ni Xiang, Wei Lu, Qiang Tu

Publication date: 2 September 2021

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2021.112482


zbMATH Keywords

fully nonlinear elliptic equationsPogorelov estimates


Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45)




Cites Work

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  • A Monge-Ampère-type equation motivated by string theory
  • The Fu-Yau equation with negative slope parameter
  • On estimates for the Fu-Yau generalization of a Strominger system
  • The theory of superstring with flux on non-Kähler manifolds and the complex Monge-Ampère equation
  • On the General Notion of Fully Nonlinear Second-Order Elliptic Equations
  • A variational theory of the Hessian equation
  • An interior estimate for convex solutions and a rigidity theorem
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