Analog of the logarithmic residue formula for solutions of first-order elliptic systems, and weighted estimates for solutions of the d-problem

1983 ◽  
Vol 23 (3) ◽  
pp. 441-448
Author(s):  
N. N. Tarkhanov
Keyword(s):  
Elliptic Systems ◽  
Weighted Estimates ◽  
First Order ◽  
Residue Formula ◽  
Logarithmic Residue

Schwarz problem for first-order elliptic systems on the plane

2017 ◽  
Vol 53 (10) ◽  
pp. 1318-1328 ◽  
Author(s):  
V. B. Vasil’ev ◽  
V. G. Nikolaev
Keyword(s):  
Elliptic Systems ◽  
First Order ◽  
Schwarz Problem

First-order elliptic systems degenerated at the boundary

1993 ◽  
Vol 123 (6) ◽  
pp. 1203-1212
Author(s):  
Abduhamid Dzhuraev
Keyword(s):  
Boundary Conditions ◽  
Explicit Formula ◽  
Elliptic Systems ◽  
Bounded Solutions ◽  
Order Linear ◽  
Multiply Connected ◽  
First Order

SynopsisIn this paper we state that the bounded solutions of general first order linear elliptic systems of two equations in bounded multiply-connected plane domains, degenerated at the boundary, are determined in domains without any boundary conditions, provided the boundary is not characteristic for this system. The explicit formula for calculating the index of the system is derived.

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