Results 11 to 20 of about 34 (33)

Convolutions of harmonic right half-plane mappings

Open Mathematics, 2016
We first prove that the convolution of a normalized right half-plane mapping with another subclass of normalized right half-plane mappings with the dilatation −z(a+z)/(1+az)$ - z(a + z)/(1 + az)$ is CHD (convex in the horizontal direction) provided a=1$a
Li YingChun, Liu ZhiHong
doaj   +1 more source

Harmonicity of horizontally conformal maps and spectrum of the Laplacian

International Journal of Mathematics and Mathematical Sciences, Volume 30, Issue 12, Page 709-715, 2002., 2002
We discuss the harmonicity of horizontally conformal maps and their relations with the spectrum of the Laplacian. We prove that if Φ : M → N is a horizontally conformal map such that the tension field is divergence free, then Φ is harmonic. Furthermore, if N is noncompact, then Φ must be constant.
Gabjin Yun
wiley   +1 more source

Harmonic close‐to‐convex mappings

International Journal of Stochastic Analysis, Volume 15, Issue 1, Page 23-28, 2002., 2002
Sufficient coefficient conditions for complex functions to be close‐to‐convex harmonic or convex harmonic are given. Construction of close‐to‐convex harmonic functions is also studied by looking at transforms of convex analytic functions. Finally, a convolution property for harmonic functions is discussed.
Jay M. Jahangiri, Herb Silverman
wiley   +1 more source

Biharmonic maps on V‐manifolds

International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 8, Page 477-484, 2001., 2001
We generalize biharmonic maps between Riemannian manifolds into the case of the domain being V‐manifolds. We obtain the first and second variations of biharmonic maps on V‐manifolds. Since a biharmonic map from a compact V‐manifold into a Riemannian manifold of nonpositive curvature is harmonic, we construct a biharmonic non‐harmonic map into a sphere.
Yuan-Jen Chiang, Hongan Sun
wiley   +1 more source

Existence of multiple critical points for an asymptotically quadratic functional with applications

Abstract and Applied Analysis, Volume 1, Issue 3, Page 277-289, 1996., 1996
Morse theory for isolated critical points at infinity is used for the existence of multiple critical points for an asymptotically quadratic functional. Applications are also given for the existence of multiple nontrivial periodic solutions of asymptotically Hamiltonian systems.
Shujie Li, Jiabao Su
wiley   +1 more source

III-harmonic Curves in SL2ℝ˜\widetilde {{\rm{S}}{{\rm{L}}_2}\mathbb{R}} Space

Annals of the West University of Timisoara: Mathematics and Computer Science
Some work has been done in the study of non-geodesic III-harmonic curves in some model spaces. In this paper, we study III-harmonic curves in SL2ℝ˜\widetilde {{\rm{S}}{{\rm{L}}_2}\mathbb{R}} space. We give necessary and su cient conditions for helices to
Senoussi Bendehiba
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On p-harmonic self-maps of spheres. [PDF]

Calc Var Partial Differ Equ, 2023
Branding V, Siffert A.
europepmc   +1 more source

On the Normal Stability of Triharmonic Hypersurfaces in Space Forms. [PDF]

J Geom Anal, 2023
Branding V.
europepmc   +1 more source

A fractional version of Rivière's GL(n)-gauge. [PDF]

Ann Mat Pura Appl, 2022
Da Lio F, Mazowiecka K, Schikorra A.
europepmc   +1 more source

On Finite Energy Solutions of 4-harmonic and ES-4-harmonic Maps. [PDF]

J Geom Anal, 2021
Branding V.
europepmc   +1 more source