scholarly journals Local Hölder continuity of solutions of the complex Monge-Ampère equation

2021 ◽  
pp. 125737
Author(s):  
Nguyen Xuan Hong ◽  
Pham Thi Lieu
Keyword(s):  
Hölder Continuity ◽  
Holder Continuity ◽  
Continuity Of Solutions ◽  
Monge Ampere ◽  
Local Hölder Continuity

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].

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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