scholarly journals Hölder continuity of solutions to the Monge-Ampère equations on compact Kähler manifolds

2010 ◽  
Vol 60 (5) ◽  
pp. 1857-1869 ◽  
Author(s):  
Pham Hoang Hiep
Keyword(s):  
Hölder Continuity ◽  
Kähler Manifolds ◽  
Kahler Manifolds ◽  
Holder Continuity ◽  
Continuity Of Solutions ◽  
Monge Ampere

Existence and Hölder continuity to solutions of the complex Monge–Ampère-type equations with measures vanishing on pluripolar subsets

2021 ◽  
Author(s):  
Le Mau Hai ◽  
Vu Van Quan
Keyword(s):  
Pseudoconvex Domain ◽  
Hölder Continuity ◽  
Type Equation ◽  
Holder Continuity ◽  
Continuous Solutions ◽  
Hölder Continuous ◽  
Strictly Pseudoconvex Domain ◽  
Monge Ampere

In this paper, we establish existence of Hölder continuous solutions to the complex Monge–Ampère-type equation with measures vanishing on pluripolar subsets of a bounded strictly pseudoconvex domain [Formula: see text] in [Formula: see text].

scholarly journals Geometric estimates for complex Monge–Ampère equations

2020 ◽  
Vol 2020 (765) ◽  
pp. 69-99 ◽  
Author(s):  
Xin Fu ◽  
Bin Guo ◽  
Jian Song
Keyword(s):  
Einstein Metrics ◽  
Kähler Manifolds ◽  
Singular Solutions ◽  
Kahler Manifolds ◽  
Diameter Estimate ◽  
Uniform Diameter ◽  
Kähler Einstein Metrics ◽  
Geometric Regularity ◽  
Monge Ampere ◽  
Geometric Estimates

AbstractWe prove uniform gradient and diameter estimates for a family of geometric complex Monge–Ampère equations. Such estimates can be applied to study geometric regularity of singular solutions of complex Monge–Ampère equations. We also prove a uniform diameter estimate for collapsing families of twisted Kähler–Einstein metrics on Kähler manifolds of nonnegative Kodaira dimensions.

An alternative approach to the Hölder continuity of solutions to some elliptic equations

2014 ◽  
Vol 94 ◽  
pp. 133-141 ◽  
Author(s):  
Fatma Gamze Düzgün ◽  
Paolo Marcellini ◽  
Vincenzo Vespri
Keyword(s):  
Elliptic Equations ◽  
Hölder Continuity ◽  
Holder Continuity ◽  
Alternative Approach ◽  
Continuity Of Solutions

scholarly journals Hölder Continuity of Solutions of SPDEs with Reflection

2013 ◽  
Vol 1 (2) ◽  
pp. 133-142 ◽  
Author(s):  
Robert C. Dalang ◽  
Tusheng Zhang
Keyword(s):  
Hölder Continuity ◽  
Holder Continuity ◽  
Continuity Of Solutions
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