scholarly journals About one problem on extremal decomposition

2021 ◽  
Vol 28 (3) ◽  
pp. 141-150
Author(s):  
Ya. Zabolotnii ◽  
I. Denega
Keyword(s):  
Extremal Decomposition

Extremal decomposition problems for p-harmonic Robin radius

2020 ◽  
Vol 20 (2) ◽  
pp. 135-143
Author(s):  
A.S. Afanaseva-Grigoreva ◽  
◽  
E.G. Prilepkina ◽  
Keyword(s):  
Euclidean Space ◽  
Extremal Decomposition ◽  
Families Of Curves

The theorems on the extremal decomposition of plane domains concerning to the products of Robin's radii are extended to the case of domains in Euclidean space. In some cases, the classical non-overlapping condition is weakened. The proofs are based on the moduli technique for families of curves and dissymmetrization.

Extremal decomposition of the complex plane with free poles

2020 ◽  
Vol 246 (1) ◽  
pp. 1-17
Author(s):  
Aleksandr K. Bakhtin ◽  
Iryna V. Denega
Keyword(s):  
Complex Plane ◽  
Extremal Decomposition

Problem on extremal decomposition of the complex plane with free poles

2020 ◽  
Vol 17 (1) ◽  
pp. 3-29
Author(s):  
Aleksandr Bakhtin ◽  
Liudmyla Vyhivska
Keyword(s):  
Complex Plane ◽  
Complex Variable ◽  
Geometric Theory ◽  
Extremal Decomposition ◽  
Overlapping Domains

We consider the well-known problem of the geometric theory of functions of a complex variable on non-overlapping domains with free poles on radial systems. The main results of the present work strengthen and generalize several known results for this problem.

Problems of extremal decomposition

1988 ◽  
Vol 43 (4) ◽  
pp. 2558-2566 ◽  
Author(s):  
E. G. Emel'yanov
Keyword(s):  
Extremal Decomposition
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