Results 31 to 40 of about 36,653 (283)
$n$-harmonic coordinates and the regularity of conformal mappings
This article studies the smoothness of conformal mappings between two Riemannian manifolds whose metric tensors have limited regularity. We show that any bi-Lipschitz conformal mapping or $1$-quasiregular mapping between two manifolds with $C^r$ metric ...
Liimatainen, Tony, Salo, Mikko
core +1 more source
Some Geometric Characterizations of a Certain Class of Log-Harmonic Mappings
This article investigates structural properties of a class of log-harmonic mappings associated with starlike analytic functions in the unit disk. Beginning with a general representation of the log-harmonic mappings, we use sharp inequalities using ...
Madhusmita Mohanty +2 more
doaj +1 more source
The Generalized Janowski Starlike and Close-to-Starlike Log-Harmonic Mappings
Motivated by the success of the Janowski starlike function, we consider here closely related functions for log-harmonic mappings of the form đ(đ§)=đ§â(đ§)đ(đ§) defined on the open unit disc đ.
Maisarah Haji Mohd, Maslina Darus
doaj +1 more source
Coefficient estimates, Landau's theorem and Lipschitz-type spaces on planar harmonic mappings [PDF]
In this paper, we investigate the properties of locally univalent and multivalent planar harmonic mappings. First, we discuss the coefficient estimates and Landau's Theorem for some classes of locally univalent harmonic mappings, and then we study some ...
Chen, Shaolin +2 more
core
We develop the notion of renormalized energy in CauchyâRiemann (CR) geometry for maps from a strictly pseudoconvex pseudo-Hermitian manifold to a Riemannian manifold. This energy is a CR invariant functional whose critical points, which we call CR-harmonic maps, satisfy a CR covariant partial differential equation. The corresponding operator coincides
openaire +3 more sources
ABSTRACT Pediatric gastroenteropancreatic neuroendocrine neoplasms (GEPâNENs) are extremely rare and clinically heterogeneous. Management has largely been extrapolated from adult practice. This European Standard Clinical Practice Guideline (ESCP), developed by the EXPeRT network in collaboration with adult NEN experts, provides (adult) evidence ...
Michaela Kuhlen +23 more
wiley +1 more source
On Characterizations of Weighted Harmonic Bloch Mappings and Its Carleson Measure Criteria
For α>0, several characterizations of the α-Bloch spaces of harmonic mappings are given. We also obtain several similar characterizations for the closed separable subspace. As an application, we give relations between BHα and Carlesonâs measure.
Munirah Aljuaid, M. A. Bakhit
doaj +1 more source
The Ile181Asn variant of human UDPâxylose synthase (hUXS1), associated with a shortâstature genetic syndrome, has previously been reported as inactive. Our findings demonstrate that Ile181AsnâhUXS1 retains catalytic activity similar to the wildâtype but exhibits reduced stability, a looser oligomeric state, and an increased tendency to precipitate ...
Tuo Li +2 more
wiley +1 more source
On the Linear Combinations of Slanted Half-Plane Harmonic Mappings [PDF]
âIn this paper, the sufficient conditions for the linear combinations of slanted half-plane harmonic mappings to be univalent and convex in the direction of $(-gamma) $ are studied. Our result improves some recent works.
Ahmad Zireh, Mohammad Mehdi Shabani
doaj +1 more source
Gut microbiome and agingâA dynamic interplay of microbes, metabolites, and the immune system
Ageâdependent shifts in microbial communities engender shifts in microbial metabolite profiles. These in turn drive shifts in barrier surface permeability of the gut and brain and induce immune activation. When paired with preexisting ageârelated chronic inflammation this increases the risk of neuroinflammation and neurodegenerative diseases.
Aaron Mehl, Eran Blacher
wiley +1 more source

