Results 11 to 20 of about 48 (48)

Morse index of circular solutions for repulsive central force problems on surfaces

Open Mathematics
The classical theory of repulsive central force problem on the standard (flat) Euclidean plane can be generalized to surfaces by reformulating the basic underlying physical principles by means of differential geometry.
Yang Ran
doaj   +1 more source

Condensing Operators in Busemann Convex Metric Spaces With Applications to Hammerstein Integral Equations

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
In this article, we introduce a new class of cyclic and noncyclic condensing operators that extend the notion of condensing mappings previously proposed by Gabeleh and Markin (M. Gabeleh and J. Markin, Optimum solutions for a system of differential equations via measure of noncompactness, Indagationes Mathematicae, 29(3) [2018], 895–906).
A. Pradhan, M. Gabeleh, D. K. Patel, S. P. Moshokoa, Shikha Binwal   +4 more
wiley   +1 more source

A placebo‐controlled, double‐blind study evaluating the effect of orally administered polyunsaturated fatty acids on the oclacitinib dose for atopic dogs

Veterinary Dermatology, Volume 35, Issue 4, Page 408-417, August 2024.
Background – Supplementation of polyunsaturated fatty acids (PUFA) enables dose reduction of prednisolone and ciclosporin in canine atopic dermatitis (cAD). Objective – To determine if oral administration of PUFA can reduce the dose of oclacitinib for cAD. Conclusion – Oral supplementation of PUFA allowed dose reduction of oclacitinib and improved pVAS,
Laura Schäfer, Nina Thom
wiley   +1 more source

On generalized measure contraction property and energy functionals over Lipschitz maps [PDF]

, 1999
. We will summarize a part of the result of [10], the construction of Sobolev spaces and energy functionals over maps between metric spaces under the strong measure contraction property of Bishop-Gromov type, which is a generalized notion of Ricci ...
Kazuhiro Kuwae, Takashi Shioya
core  

Metric lines in the jet space

Analysis and Geometry in Metric Spaces
In the realm of sub-Riemannian manifolds, a relevant question is: what are the metric lines (isometric embedding of the real line)? The space of kk-jets of a real function of one real variable xx, denoted by Jk(R,R){J}^{k}\left({\mathbb{R}},{\mathbb{R}}),
Bravo-Doddoli Alejandro
doaj   +1 more source

On Smoothness of Sub-Riemannian Minimizers [PDF]

, 1996
: This paper presents new conditions under which sub-Riemannian distance can be measured by means of a C 1 sub-Riemannian geodesic. Key Words: nonlinear systems, geodesics, calculus of variations, optimal control, sub-Riemannian geometry AMS subject ...
S. Nikitin
core  

Structure Theorem for Riemannian surfaces with arbitrary curvature [PDF]

, 2008
15 pages, 3 figures.-- MSC2000 codes: 53C20, 53C22, 58A99.-- ArXiv pre-print available at: http://arxiv.org/abs/0806.0090Previously presented as Poster at: X Encuentros de Análisis Real y Complejo (XEARCO'07, Palma de Mallorca, Spain, May 10-13, 2007 ...
Tourís, Eva, Rodríguez, José M., Portilla, Ana   +2 more
core  

Generalized Isoperimetric Problem [PDF]

, 1997
In this paper the differential equations describing the minimal length curves satisfying the integral constraining relations of a general type are obtained.
S. Nikitin, Krener Nikitin
core  

Minimal Geodesics and Nilpotent Fundamental Groups [PDF]

, 1996
. Hedlund [18] constructed Riemannian metrics on n-tori, n 3 for which minimal geodesics are very rare. In this paper we construct similar examples for every nilpotent fundamental group.
Bernd Ammann
core  

Almost-Riemannian manifolds do not satisfy the curvature-dimension condition. [PDF]

Calc Var Partial Differ Equ, 2023
Magnabosco M, Rossi T.
europepmc   +1 more source