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Strict $2$-convexity of convex solutions to the quadratic Hessian equation

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Publication:4985381
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DOI10.1090/proc/15454zbMath1472.35170arXiv2006.05940OpenAlexW3120832842MaRDI QIDQ4985381

Connor Mooney

Publication date: 23 April 2021

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.05940

zbMATH Keywords

regularitysigma-2 equation


Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elliptic equations (35J60)




Cites Work

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  • The Dirichlet problem for nonlinear second order elliptic equations. III: Functions of the eigenvalues of the Hessian
  • Hessian estimates for convex solutions to quadratic Hessian equation
  • Hessian estimate for semiconvex solutions to the sigma-2 equation
  • Interior \(C^2\) regularity of convex solutions to prescribing scalar curvature equations
  • On elliptic Monge-Ampère equations and Weyl's embedding problem
  • Hessian estimates for the sigma‐2 equationin dimension 3
  • A variational theory of the Hessian equation
  • Regularity for Almost Convex Viscosity Solutions of the Sigma-2 Equation
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