A class of curvature type equations.
By Pengfei Guan, Xiangwen Zhang. 2019
53 citations recorded by the source corpus.
In this paper, we study the solvability of a general class of fully nonlinear curvature equations, which can be viewed as generalizations of the equations for Christoffel-Minkowski problem in convex geometry. We will also study the Dirichlet problem of the corresponding degenerate equations as an extension of the equations studied by Krylov.
Subfields: Applied Mathematics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/a63bf91203e37333caebd6711cbe6b1683eec433
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In Applied Mathematics
- Sebastien Picard
- Duong H. Phong
- Xiangwen Zhang
- B. Weinkove
- Valentino Tosatti
- G'abor Sz'ekelyhidi
- Jacob Sturm
- Robert J. Berman
In Statistical and Nonlinear Physics
Citations in the corpus
- Fu–Yau Hessian equations (2018, background): “at |∇∇¯u|2 g ≤ CM −1. (6.29) establishing Theorem 5. We note that many equations involving the derivative of the unknown and/or several Hessians have been studied recently in the literature (see e.g. [3, 4, 7, 13, 15, 29, 26, 28] and references therein). It would be very interesting to determine whe”