Results 1 to 10 of about 2,667,437 (304)
The qualitative behavior at the free boundary for approximate harmonic maps from surfaces. [PDF]
Math Ann, 2019 Let {un}\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\{u_n\}$$\end ...
Jost J, Liu L, Zhu M.
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Nagoya Mathematical Journal, 2018 We develop the notion of renormalized energy in Cauchy–Riemann (CR) geometry for maps from a strictly pseudoconvex pseudo-Hermitian manifold to a Riemannian manifold.
Gautier Dietrich
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Mathematics, 2018 In this paper, λ -harmonic maps from a Finsler manifold to a Riemannian manifold are studied. Then, some properties of this kind of harmonic maps are presented and some examples are given.
Zahra Pirbodaghi +2 more
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Multi-source harmonic estimation method for distribution networks based on variational modal decomposition. [PDF]
PLoS ONETo address the limitation of harmonic monitoring on the low-voltage side of distribution networks, this paper proposes a multi-source harmonic estimation method based on variational mode decomposition. The method integrates short-term test data with long-
Hongjian Zuo +4 more
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Partial regularity of the heat flow of half-harmonic maps and applications to harmonic maps with free boundary [PDF]
Communications in Partial Differential Equations, 2021 We introduce a heat flow associated to half-harmonic maps, which have been introduced by Da Lio and Rivière. Those maps exhibit integrability by compensation in one space dimension and are related to harmonic maps with free boundary.
A. Hyder +3 more
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Rosette Harmonic Mappings [PDF]
Complex Analysis and Operator Theory, 2021 A harmonic mapping is a univalent harmonic function of one complex variable. We define a family of harmonic mappings on the unit disk whose images are rotationally symmetric rosettes with $n$ cusps or n nodes, where $n \ge 3$. These mappings are analogous to the $n$-cusped hypocycloid, but are modified by Gauss hypergeometric factors, both in the ...
Jane McDougall, Lauren Stierman
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Min-max harmonic maps and a new characterization of conformal eigenvalues [PDF]
Journal of the European Mathematical Society (Print), 2020 Given a surface $M$ and a fixed conformal class $c$ one defines $\Lambda_k(M,c)$ to be the supremum of the $k$-th nontrivial Laplacian eigenvalue over all metrics $g\in c$ of unit volume.
Mikhail Karpukhin, Daniel Stern
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Univalent harmonic mappings [PDF]
Communications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics, 1996 Summary: A family of univalent harmonic functions is studied from the point of geometric function theory. This class consists of mappings of the open unit disk onto the entire complex plane except for two infinite slits along the real axis with a normalization at the origin.
Öztürk, Metin, Yamankaradeniz, Mümin
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Globally diffeomorphic $$\sigma$$-harmonic mappings [PDF]
Annali di Matematica Pura ed Applicata (1923 -), 2020 AbstractGiven a two-dimensional mapping U whose components solve a divergence structure elliptic equation, we give necessary and sufficient conditions on the boundary so that U is a global diffeomorphism.
Alessandrini G., Nesi V.
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Existence and Stability of α−Harmonic Maps
Journal of Mathematics, 2022 In this paper, we first study the α−energy functional, Euler-Lagrange operator, and α-stress-energy tensor. Second, it is shown that the critical points of the α−energy functional are explicitly related to harmonic maps through conformal deformation.
Seyed Mehdi Kazemi Torbaghan +2 more
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