Results 241 to 250 of about 2,667,437 (304)

Controlling isolated attosecond pulse generation in MoSe₂ using polarization gating and TDDFT simulations. [PDF]

Sci Rep
Heydari E, Irani E, Madhani A, Monfared M.   +3 more
europepmc   +1 more source

Some of the next articles are maybe not open access.

Related searches:

Bounded harmonic maps

Geometriae Dedicata, 2023
The classical Fatou theorem identifies bounded harmonic functions on the unit disk with bounded measurable functions on the boundary circle. We extend this theorem to bounded harmonic maps.
Y. Benoist, D. Hulin
semanticscholar   +1 more source

Laplace and Steklov Extremal Metrics via n-Harmonic Maps

Journal of Geometric Analysis, 2021
We present a unified description of extremal metrics for the Laplace and Steklov eigenvalues on manifolds of arbitrary dimension using the notion of n-harmonic maps.
Mikhail A. Karpukhin, Antoine M'etras
semanticscholar   +1 more source

Eells–Sampson Type Theorems for Subelliptic Harmonic Maps from sub-Riemannian Manifolds

Journal of Geometric Analysis, 2019
In this paper, we consider critical maps of a horizontal energy functional for maps from a sub-Riemannian manifold to a Riemannian manifold. These critical maps are referred to as subelliptic harmonic maps.
Yuxin Dong
semanticscholar   +1 more source

Quantitative gradient estimates for harmonic maps into singular spaces

Science China Mathematics, 2017
In this paper, we show the Yau’s gradient estimate for harmonic maps into a metric space (X, dX) with curvature bounded above by a constant κ (κ ⩾ 0) in the sense of Alexandrov.
Hui-Chun Zhang, X. Zhong, Xiping Zhu
semanticscholar   +1 more source

Short time existence of the heat flow for Dirac-harmonic maps on closed manifolds

, 2017
The heat flow for Dirac-harmonic maps on Riemannian spin manifolds is a modification of the classical heat flow for harmonic maps by coupling it to a spinor.
J. Wittmann
semanticscholar   +1 more source

Harmonic mappings and quasiconformal mappings

Journal d'Analyse Mathématique, 1986
Given a homeomorphism, \(w=H(e^{i\theta})\), \(0\leq \theta \leq 2\pi\), of the unit circumference \(\partial U\), we denote by Q(H) the class of quasiconformal homeomorphisms of U onto itself with boundary values H on \(\partial U\). The extremal dilatation for the class Q(H) is \textit{\(K_ H=\inf \{K[f]:\) \(f\in Q(H)\},\) where \[ K[f]=ess \sup [(|
openaire   +1 more source

Stratification for the singular set of approximate harmonic maps

, 2016
The aim of this note is to extend the results in Naber and Valtorta (Ann Math (2) 185:131–227, https://doi.org/10.4007/annals.2017.185.1.3, 2017) to the case of approximate harmonic maps. More precisely, we will proved that the singular strata $$\mathcal
A. Naber, Daniele Valtorta
semanticscholar   +1 more source

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
openaire   +2 more sources

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
openaire   +3 more sources