Results 1 to 10 of about 6,893 (186)
Harmonic mapping problem and affine capacity [PDF]
, 2010 The Harmonic Mapping Problem asks when there exists a harmonic homeomorphism between two given domains. It arises in the theory of minimal surfaces and in calculus of variations, specifically in hyperelasticity theory.
Iwaniec, Tadeusz +2 more
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Inhomogeneous dielectrics: conformal mapping and finite-element models
Open Physics, 2017 Field singularities in electrostatic and magnetostatic fields require special attention in field calculations, and today finite element methods are normally used, both in homogeneous and in inhomogeneous dielectric cases.
Costamagna Eugenio, Barba Paolo Di
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Existence of energy-minimal diffeomorphisms between doubly connected domains [PDF]
, 2010 The paper establishes the existence of homeomorphisms between two planar domains that minimize the Dirichlet energy. Specifically, among all homeomorphisms f : R -> R* between bounded doubly connected domains such that Mod (R) < Mod (R*) there exists ...
Iwaniec, Tadeusz +3 more
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Loewner theory for quasiconformal extensions: old and new [PDF]
, 2019 This survey article gives an account of quasiconformal extensions of univalent functions with its motivational background from Teichm\"uller theory and classical and modern approaches based on Loewner theory.Comment: 25 pages, 3 figs.
Hotta, Ikkei
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Polynomial and rational inequalities on Jordan arcs and domains [PDF]
, 2015 In this paper we prove an asymptotically sharp Bernstein-type inequality for polynomials on analytic Jordan arcs. Also a general statement on mapping of a domain bounded by finitely many Jordan curves onto a complement to a system of the same number of ...
Kalmykov, Sergei, Nagy, Béla
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On distortion under mappings satisfying the inverse Poletsky inequality
Математичні СтудіїAs it is known, conformal mappings are locally Lipschitz at inner points of a domain, and quasiconformal (quasiregular) mappings are locally H ̈older continuous.
E. O. Sevost'yanov +3 more
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Comparison moduli spaces of Riemann surfaces
, 2017 We define a kind of moduli space of nested surfaces and mappings, which we call a comparison moduli space. We review examples of such spaces in geometric function theory and modern Teichmueller theory, and illustrate how a wide range of phenomena in ...
Schippers, Eric, Staubach, Wolfgang
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Mappings of least Dirichlet energy and their Hopf differentials
, 2012 The paper is concerned with mappings between planar domains having least Dirichlet energy. The existence and uniqueness (up to a conformal change of variables in the domain) of the energy-minimal mappings is established within the class $\bar{\mathscr H ...
A. Lyzzaik +42 more
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3D-Mappings using monogenic functions [PDF]
, 2006 Conformal mappings of plane domains are realized by holomorphic functions with non vanishing derivative. Therefore complex differentiability plays an important role in all questions related to fundamental properties of such mapping.
Falcão, M. I., Malonek, H. R.
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On Integrability and Exact Solvability in Deterministic and Stochastic Laplacian Growth
, 2019 We review applications of theory of classical and quantum integrable systems to the free-boundary problems of fluid mechanics as well as to corresponding problems of statistical mechanics.
Loutsenko, Igor, Yermolayeva, Oksana
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