Certain nonelliptic boundary-value problems for a system of second-order elliptic equations with the principal part in the form of the Laplace operator

1986 ◽  
Vol 37 (3) ◽  
pp. 315-317
Author(s):  
Huang Quok Tuan ◽  
Nguyen Viet Chieu Tien
Keyword(s):  
Boundary Value Problems ◽  
Laplace Operator ◽  
Elliptic Equations ◽  
Principal Part ◽  
Boundary Value ◽  
Second Order ◽  
The Laplace Operator ◽  
Second Order Elliptic Equations

Linear second order elliptic equations with Venttsel boundary conditions

1991 ◽  
Vol 118 (3-4) ◽  
pp. 193-207 ◽  
Author(s):  
Yousong Luo ◽  
Neil S. Trudinger
Keyword(s):  
Boundary Conditions ◽  
Boundary Value Problems ◽  
Elliptic Equations ◽  
Existence Result ◽  
Boundary Value ◽  
Second Order ◽  
Classical Solutions ◽  
Schauder Estimate ◽  
Second Order Elliptic Equations

SynopsisWe prove a Schauder estimate for solutions of linear second order elliptic equations with linear Venttsel boundary conditions, and establish an existence result for classical solutions for such boundary value problems.

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