Results 61 to 70 of about 205,497 (296)

Morse index and multiplicity of min-max minimal hypersurfaces

, 2016
The Min-max Theory for the area functional, started by Almgren in the early 1960s and greatly improved by Pitts in 1981, was left incomplete because it gave no Morse index estimate for the min-max minimal hypersurface. We advance the theory further and
Marques, Fernando C., Neves, André
core   +1 more source

The role of the PTHrP/Ihh feedback loop in the unusual growth plate location in mammalian metatarsals and pisiforms

Developmental Dynamics, EarlyView.
Abstract Background Longitudinal skeletal growth takes place in the cartilaginous growth plates. While growth plates are found at either end of conventional long bones, they occur at a variety of locations in the mammalian skeleton. For example, the metacarpals and metatarsals (MT) in the hands and feet form only a single growth plate at one end, and ...
Philip L. Reno, Sherrie Wallace, Sarah N. Doelp, Maria Biancaniello, Kelsey M. Kjosness   +4 more
wiley   +1 more source

Multiple Closed Geodesics on Positively Curved Finsler Manifolds

Advanced Nonlinear Studies, 2019
In this paper, we prove that on every Finsler manifold (M,F){(M,F)} with reversibility λ and flag curvature K satisfying (λλ+1 ...
Wang Wei
doaj   +1 more source

Associations Between Interpersonal Problems, Negative Affect, and Symptoms of Night Eating Syndrome

International Journal of Eating Disorders, EarlyView.
ABSTRACT Objective Research on social support, attachment insecurity, and negative affect in night eating syndrome (NES) is sparse, although these factors have been proposed as key components of etiological models in other eating disorders. This study investigated whether individuals with night eating (NE) symptoms reported lower social support ...
Charlotte P. H. Rottschäfer, Danielle Schewe, Martina de Zwaan, Bernhard Strauss, Elmar Brähler, Anja Hilbert   +5 more
wiley   +1 more source

Multiplicity results for a class of fractional differential equations with impulse

Advances in Difference Equations, 2018
In this paper, we apply Morse theory, local linking arguments and the Clark theorem to a study of the multiplicity of nontrivial solutions for a class of impulsive fractional differential equations with Dirichlet boundary conditions.
Yulin Zhao, Xiaoyan Shi, Haibo Chen
doaj   +1 more source

Habitat heterogeneity overrides local processes to drive the species–area relationship of benthic macroinvertebrates in shallow floodplain lakes

Ecography, EarlyView.
The species–area relationship (SAR) on islands describes how the numbers of species increase with increasing island size (or island‐like habitat, such as lakes). Despite its conceptual importance, there is considerable uncertainty surrounding its shape in freshwater lakes, as well as the potential mechanisms that underlie the SAR.
You Zhang, Yongjiu Cai, Jinlei Yu, Mingjie Li, Juhua Luo, Jonathan M. Chase, Zhijun Gong, Kuanyi Li, Hu He   +8 more
wiley   +1 more source

Juvenile salmonids traverse coastal meta‐nurseries that connect rivers via the sea

Frontiers in Ecology and the Environment, EarlyView.
Conventionally, juvenile salmonids are thought to migrate unidirectionally from freshwater systems to marine systems and therefore only inhabit natal drainages. Although scattered evidence suggests juveniles can move bidirectionally between freshwater rivers and the ocean, including into non‐natal drainages, such movements have never been documented ...
Stuart H Munsch, Todd R Bennett, Jimmy Faukner, Madison J Halloran, Karrie M Hanson, Martin C Liermann, Michael L McHenry, John R McMillan, Raymond E Moses, Bob Pagliuco, George R Pess, Katherine R Stonecypher, Darren M Ward   +12 more
wiley   +1 more source

Challenges to parental engagement in K‐12 online learning during the pandemic: Lessons learned and a tripartite model for future involvement

Future in Educational Research, EarlyView.
Abstract Online learning became a central feature of education during the COVID‐19 pandemic, as traditional classrooms were rapidly replaced by virtual environments within students' homes through platforms such as Zoom. This abrupt transition required parents of K‐12 students to assume the unfamiliar role of at‐home educators, often without adequate ...
Gulipari Maimaiti, Khe Foon Hew, Ya Xiao
wiley   +1 more source

Nontrivial periodic solutions to delay difference equations via Morse theory

Open Mathematics, 2018
In this paper some sufficient conditions are obtained to guarantee the existence of nontrivial 4T + 2 periodic solutions of asymptotically linear delay difference equations. The approach used is based on Morse theory.
Long Yuhua, Shi Haiping, Deng Xiaoqing
doaj   +1 more source

Morse theory in the 1990s

, 2002
Abstract Since the publication of Milnor’s book [47] in 1963, Morse theory has been a standard topic in the education of geometers and topologists. This book established such high standards for clarity of exposition and mathematical influence that it has been reprinted several times, and it is still the most popular introductory ...
openaire   +2 more sources