scholarly journals A Bernstein problem for special Lagrangian equations in exterior domains

2020 ◽  
Vol 361 ◽  
pp. 106927 ◽  
Author(s):  
Dongsheng Li ◽  
Zhisu Li ◽  
Yu Yuan
Keyword(s):  
Exterior Domains ◽  
Bernstein Problem ◽  
Special Lagrangian ◽  
Lagrangian Equations

The Neumann problem for complex special Lagrangian equations with critical phase

2019 ◽  
Vol 30 (09) ◽  
pp. 1950043 ◽  
Author(s):  
Jun Wang
Keyword(s):  
Uniqueness Theorem ◽  
Neumann Problem ◽  
Existence And Uniqueness ◽  
A Priori ◽  
Existence And Uniqueness Theorem ◽  
Special Lagrangian ◽  
Lagrangian Equations ◽  
Critical Phase ◽  
The Neumann Problem

We study the Neumann problem for complex special Lagrangian equations with critical phase. A priori derivative estimates up to order two are established. And we obtain the existence and uniqueness theorem by the method of continuity.

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