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Quantitative regularity for $p$-harmonic maps
Communications in analysis and geometry, 2014In this article, we study the regularity of minimizing and stationary $p$-harmonic maps between Riemannian manifolds. The aim is obtaining Minkowski-type volume estimates on the singular set $S(f)=\{x \ \ s.t. \ \ f \text{ is not continuous at } x\}$, as
A. Naber, Daniele Valtorta, G. Veronelli
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Bulletin of the London Mathematical Society, 1978
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Eells, James, Lemaire, Luc
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Eells, James, Lemaire, Luc
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Another Report on Harmonic Maps
Bulletin of the London Mathematical Society, 1988Ten 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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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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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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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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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, 1999zbMATH 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 SocietyzbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bappaditya Bhowmik, Santana Majee
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Harmonic, locally quasiconformal mappings
1995Summary: 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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Robot Navigation in Complex Workspaces Using Harmonic Maps
IEEE International Conference on Robotics and Automation, 2018Panagiotis Vlantis +3 more
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