Results 231 to 240 of about 252,679 (281)

fLk-Harmonic Maps and fLk-Harmonic Morphisms

Acta Mathematica Vietnamica, 2020
The authors define another variant of harmonic maps between manifolds. It is based on the \(L_k\)-harmonic maps involving so-called Newton transformations associated with oriented hypersurfaces. The \(L_k\)-harmonic maps have been introduced in [\textit{M. Aminian} and \textit{S. M. B. Kashani}, Acta Math. Vietnam. 42, No.
Aminian, Mehran, Namjoo, Mehran
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Harmonic maps with potential

Calculus of Variations and Partial Differential Equations, 1997
Let \(f: (M,g)\to (N,h)\) be a smooth map between two Riemannian manifolds and \(G:N\to\mathbb{R}\) be a given function. The authors study the following energy functional \(E_G(f)={1\over 2}\int[|df|^2- 2G(f)]dv_g\), and call \(f\) the harmonic map with potential \(G\) if \(f\) satisfies the Euler-Lagrange equation \(\tau(f)+\nabla G(f)=0\).
FARDOUN A, RATTO, ANDREA
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A Report on Harmonic Maps

Bulletin of the London Mathematical Society, 1978
FLWNA ; SCOPUS: ar.j ; info:eu-repo/semantics ...
Eells, James, Lemaire, Luc
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Another Report on Harmonic Maps

Bulletin of the London Mathematical Society, 1988
Ten years ago the authors of the paper gave an interesting account of the theory of harmonic maps in their paper [Bull. Lond. Math. Soc. 10, 1-68 (1978; Zbl 0401.58003)] where they presented the most important results known at that time. In the present paper the authors give a survey of the progress made during the past decade.
Eells, James, Lemaire, Luc
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Regularity forn-harmonic maps

Journal of Geometric Analysis, 1996
The authors first establish a regularity theorem of some nonlinear elliptic systems with borderline growth, using a blow-up argument. As an application, the authors obtain everywhere regularity of \(n\)-harmonic maps with constant volume between manifolds.
Mou, Libin, Yang, Paul
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On Homotopic Harmonic Maps

Canadian Journal of Mathematics, 1967
Let M, M′ be C∞ Riemann manifolds such that(1.0) M is compact;(1.1) M′ is complete and its sectional curvatures are non-positive.In terms of local coordinates x = (x1, … , xn) on M and y = (y1, … , ym) on M′, let the respective Riemann elements of arc-length beand Γijk, Γ′αβγ be the corresponding Christoffel symbols.
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Harmonic maps and harmonic morphisms

Journal of Mathematical Sciences, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Neighborhoods of Harmonic and Stable Harmonic Mappings

Bulletin of the Malaysian Mathematical Sciences Society
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bappaditya Bhowmik, Santana Majee
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Harmonic, locally quasiconformal mappings

1995
Summary: Classes \(H(\alpha,K)\) of functions \(f(z)=h(z)+\overline{g(z)}\), which are harmonic in \(\Delta=\{z:| z| < 1\}\) (\(h(z)\) and \(g(z)\) are regular in \(\Delta\)), preserve the orientation \((J(z)>0)\), are \(K\)-quasiconformal in \(\Delta\), are considered, where \(f(0)=0\), \(h(0)+\overline {g'(0)}=1\), \(\frac{h(z)}{h'(0)}\) belongs to a
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Short-time existence of the α-Dirac-harmonic map flow and applications

Communications in Partial Differential Equations, 2021
Jürgen Jost, Jingyong Zhu
exaly