On admissible square roots of non-negative \(C^{2, 2\alpha}\) functions

MaRDI QIDQ6179159

Pengfei Guan, Huangchen Zhou

Publication date: 5 September 2023

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://nyjm.albany.edu/j/2023/29-39.html

zbMATH Keywords

square rootsnonnegative functions\(C^{1, \alpha}\) regularity

Mathematics Subject Classification ID

Lipschitz (Hölder) classes (26A16) Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Fractional derivatives and integrals (26A33)

Cites Work

• \(C^ 2\) a priori estimates for degenerate Monge-Ampère equations
• The analysis of linear partial differential operators. III: Pseudo-differential operators
• The Weyl problem with nonnegative Gauss curvature
• Regularity estimates for the oblique derivative problem
• Nonnegative functions as squares or sums of squares
• A microscopic convexity principle for nonlinear partial differential equations
• Racine carrée d'une fonction différentiable
• Isometric embedding with nonnegative Gauss curvature under the graph setting
• A priori estimates of the degenerate Monge-Ampère equation on Kähler manifolds of non-negative bisectional curvature
• Sums of squares. I: Scalar functions
• The uncertainty principle and sharp gårding inequalities
• On positivity of pseudo-differential operators
• ON THE FEFFERMAN–PHONG INEQUALITY AND RELATED PROBLEMS
• Sommes de carrés de fonctions dérivables
• On local solvability of linear partial differential equations part I: Necessary conditions

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