Results 211 to 220 of about 1,170,620 (259)
Elasticity‐Driven Periodic Polarization Patterns in a Chiral Ferroelectric Nematic Fluid
Advanced Materials, EarlyView.Chiral polar ferroelectric nematic fluids exhibit spontaneous formation of stripe, square, and hexagonal polarization textures under confinement. Controlled by thickness and anchoring, these patterns produce spatially modulated nonlinear optical responses.
Anej Sterle +11 more
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Single‐Particle FRET Probes Heterogeneity in the Ligand Shell of Colloidal Perovskite Quantum Dots
Advanced Materials, EarlyView.Single‐particle, single‐molecule Förster resonance energy transfer turns dye‐tagged ligands into nanorulers for the otherwise elusive organic shell of CsPbBr3 quantum dots. Distance variations within individual particles reveal pronounced local heterogeneity, while changes in the surrounding ligand chemistry shift the average dye–surface separation ...
Leon G. Feld +6 more
wiley +1 more source
Advanced Materials, EarlyView.A chemically defined PEG‐based microgel platform enables scalable, reproducible production of three‐dimensional microgel‐iPSC constructs in multiple sizes. The system is compatible with high‐throughput automation and supports human iPSC expansion and differentiation within a single construct, including directed differentiation into cardiac organoids ...
Laura Klasen +8 more
wiley +1 more source
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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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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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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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On Convolution of Harmonic Mappings
Complex Analysis and Operator Theory, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Harmonic mappings and quasiconformal mappings
Journal d'Analyse Mathématique, 1986Given 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 [(|
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On the Conformal Equivalence of Harmonic Maps and Exponentially Harmonic Maps
Bulletin of the London Mathematical Society, 1992The author considers smooth maps between compact smooth Riemannian manifolds. He pursues the question whether for any given map there exists an exponentially harmonic map that is homotopic to it. He proves that it is true for a manifold modulo a change to a conformally equivalent metric on the preimage manifold and dimension greater than or equal to 3.
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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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