scholarly journals On Jörgens, Calabi, and Pogorelov type theorem and isolated singularities of parabolic Monge–Ampère equations

2011 ◽  
Vol 250 (1) ◽  
pp. 367-385 ◽  
Author(s):  
Jingang Xiong ◽  
Jiguang Bao
Keyword(s):  
Type Theorem ◽  
Isolated Singularities ◽  
Monge Ampere

scholarly journals Isolated singularities of graphs in warped products and Monge–Ampère equations

2016 ◽  
Vol 260 (3) ◽  
pp. 2163-2189 ◽  
Author(s):  
José A. Gálvez ◽  
Asun Jiménez ◽  
Pablo Mira
Keyword(s):  
Warped Products ◽  
Isolated Singularities ◽  
Monge Ampere

Isolated Singularities of Monge-Ampere Equations

1995 ◽  
Vol 123 (12) ◽  
pp. 3705 ◽  
Author(s):  
Friedmar Schulz ◽  
Lihe Wang
Keyword(s):  
Isolated Singularities ◽  
Monge Ampere

scholarly journals A Classification of Isolated Singularities of Elliptic Monge-Ampére Equations in Dimension Two

2015 ◽  
Vol 68 (12) ◽  
pp. 2085-2107 ◽  
Author(s):  
José A. Gálvez ◽  
Asun Jiménez ◽  
Pablo Mira
Keyword(s):  
Isolated Singularities ◽  
Monge Ampere

scholarly journals A Mean Value Formula and a Liouville Theorem for the Complex Monge–Ampère Equation

2018 ◽  
Vol 2020 (3) ◽  
pp. 853-867
Author(s):  
Chao Li ◽  
Jiayu Li ◽  
Xi Zhang
Keyword(s):  
Liouville Theorem ◽  
Hermitian Matrix ◽  
Type Theorem ◽  
Mean Value ◽  
Complete Riemannian Manifold ◽  
Liouville Type ◽  
Liouville Type Theorem ◽  
Nonnegative Ricci Curvature ◽  
Monge Ampere ◽  
Mean Value Formula

Abstract In this paper, we prove a mean value formula for bounded subharmonic Hermitian matrix valued function on a complete Riemannian manifold with nonnegative Ricci curvature. As its application, we obtain a Liouville type theorem for the complex Monge–Ampère equation on product manifolds.

A Perron-Frobenius-type Theorem for Positive Matrix Semigroups

Positivity ◽  
2016 ◽  
Vol 21 (1) ◽  
pp. 61-72
Author(s):  
L. Livshits ◽  
G. MacDonald ◽  
H. Radjavi
Keyword(s):  
Type Theorem ◽  
Positive Matrix ◽  
Matrix Semigroups
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