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Generalized Condensers and the Asymptotics of their Capacities ...


Generalized Condensers and the Asymptotics of their Capacities ...

This note presents the simplest properties of the conformal capacity of generalized condensers concentrated on domains of the Riemann sphere. The asymptoti.

Generalized Condensers and the Asymptotics of their Capacities ...

The asymptotic formula for the capacity of a generalized condenser as some of its plates contract to points is derived. Bibliography: 19 titles. Introduction.

Cited by: V. N. Dubinin“Generalized condensers and the ...

V. N. Dubinin, “Asymptotic Behavior of the Capacity of a Condenser as Some of Its Plates Contract to Points”, Math. Notes, 96:2 (2014), 187–198 ...

Asymptotics for the Capacity of a Condenser with Variable Potential ...

The asymptotic formula is obtained for the capacity of a generalized condenser when parts of its plates contract to prescribed points.

Asymptotic behavior of generalized capacities with applications to ...

This paper is devoted to the analysis of the asymptotic behavior of a generalization of the condenser capacity of a bounded domain of R d ( d ≥ 3 ) with a ...

ASYMPTOTICS FOR THE CAPACITY OF A CONDENSER WITH ...

Abstract: The asymptotic formula is obtained for the capacity of a generalized condenser when parts of its plates contract to prescribed points. In contrast ...

Asymptotics of the capacity of a condenser with plates of an arbitrary ...

Generalized Condensers and the Asymptotics of their Capacities under Degeneration of Some Plates · V. Dubinin. Mathematics. 2005. This note presents the ...

On the asymptotic behavior of condenser capacity under Blaschke ...

... condenser get closer, its capacity tends to ... [8] V. N. Dubinin, Generalized condensers and the asymptotics of their capacities under a degen-.

Asymptotics for the Capacity of a Condenser with Variable Potential ...

Abstract: The asymptotic formula is obtained for the capacity of a generalized condenser when parts of its plates contract to prescribed points.

Asymptotic behavior of generalized capacities with applications to ...

notion of condenser capacity and a first generalization of it, known as u-capacity. ... our main result on the series expansion of the generalized capacity. Capn ...

Generalized reduced modulus in Euclidean space - arXiv

Keywords: Condenser, Robin function, Reduced modulus, Capacity asymptotics ... capacity while pulling its plates into points. The most ...

condenser capacity and invariants of riemannian submanifolds

dt} where dt = dt1 ···dtn . Remark. Theorem implies (1) as well as its generalization offered in [LL] where all the terms ... [S] Soibelman, Y., Asymptotics of ...

Condenser energy under holomorphic motions - Project Euclid

Dubinin [9] derived an asymptotic formula for the capacity of a generalized condenser as some of its plates contract to points. V. N. Dubinin and D. Karp [10], ...

V. N. Dubinin, V. Yu. Kim, “On the condensers with variable plates ...

Abstract: The asymptotic formula is obtained for the capacity of a generalized condenser when parts of its plates contract to prescribed points. We consider ...

On the asymptotic behavior of condenser capacity under Blaschke ...

... functions. View. Show abstract. Generalized Condensers and the Asymptotics of their Capacities under Degeneration of Some Plates. Article. Sep 2005.

Asymptotics of the module of a degenerating condenser and some ...

Abstract. The well-known asymptotic formula for the module of a condenser with one of the plates degenerating to a point is generalized to the case of a ...

AMS :: Proceedings of the American Mathematical Society

V. N. Dubinin, Generalized condensers and the asymptotics of their capacities under a degeneration of some plates, Zap. Nauchn. Sem. S.-Peterburg. Otdel ...

REDUCED MODULUS WITH FREE BOUNDARY AND ITS ...

We derive an asymptotic formula for the modulus (= reciprocal of capacity) of generalized condenser whose field is an arbitrary multiply-connected domain on the ...

Estimates and asymptotic expansions for condenser p-capacities ...

To our best knowledge, the anisotropic effect caused by a segment in the p-Laplace equation has not been studied yet. Lastly, with respect to ...

Robin functions and distortion theorems for regular mappings - arXiv

Capacities of generalized condensers are applied to prove a two-point ... Dubinin: Generalized condensers and the asymptotics of their capacities.