Radial Length, Radial John Disks and K-quasiconformal Harmonic Mappings

Harmonic Quasiconformal Mappings of Riemannian Manifolds

Quasiconformal Extension of Harmonic Mappings in the Plane

Let f be a sense-preserving harmonic mapping in the unit disk. We give a sufficient condition in terms of the pre-Schwarzian derivative of f to ensure that it can be extended to a quasiconformal map in the complex plane. Introduction A well-known criterion due to Becker [5] states that if a locally univalent analytic function φ in the unit disk D satisfies (1) sup z∈D ∣∣∣∣φ′′(z) φ′(z) ∣∣∣∣ (1− ...

On Harmonic Quasiconformal Self-mappings of the Unit Ball

It is proved that any family of harmonic K-quasiconformal mappings {u = P [f ], u(0) = 0} of the unit ball onto itself is a uniformly Lipschitz family providing that f ∈ C. Moreover, the Lipschitz constant tends to 1 as K → 1.

Radial Structure of Galactic Stellar Disks

We present the results from our deep optical imaging survey µ V lim ≈ 26 − 27 mag/ 2 ′′ of a morphologically selected sample of 72 edge-on disk galaxies. The question of the global structure of galactic stellar disks, especially the radial surface brightness profile at large galactocen-tric distances, is addressed. We find that typical radial profiles are better described by a two-slope exponen...

Stress Intensity Factor of Radial Cracks for Rotating Disks and Cylinders using Average Stress Method

This article utilizes the average stress method to obtain the stress intensity factor of rotating solid and hollow disks/cylinders containing a radial crack‎. ‎It is assumed that the cracks are located radially at center‎, ‎internal or external radius of the geometry‎. ‎Results are shown for both of the plane stress and plane strain assumptions and are validated against the known data introduce...