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Interior C^{2} estimates for the Hessian quotient type equation.
- Source :
-
Proceedings of the American Mathematical Society . Sep2023, Vol. 151 Issue 9, p3913-3924. 12p. - Publication Year :
- 2023
-
Abstract
- In this paper, we study the interior C^{2} estimates for a type of Hessian quotient equation. If k<n, we establish the interior C^{2} estimates. If k=n, we construct the examples, namely, the irregular solutions to the Monge-Ampère type equations. This result can be viewed as a generalization of the results of Pogorelov [ The Minkowski multidimensional problem , V. H. Winston & Sons, Washington, 1978, page 81] or Urbas [Indiana Univ. Math. J. 1990, pp. 355-382, Theorem 2]. [ABSTRACT FROM AUTHOR]
- Subjects :
- *MONGE-Ampere equations
*EQUATIONS
Subjects
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 151
- Issue :
- 9
- Database :
- Academic Search Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 164548499
- Full Text :
- https://doi.org/10.1090/proc/16449