Results 61 to 70 of about 216,921 (319)

Three nontrivial solutions for nonlinear fractional Laplacian equations

Advances in Nonlinear Analysis, 2018
We study a Dirichlet-type boundary value problem for a pseudodifferential equation driven by the fractional Laplacian, proving the existence of three non-zero solutions.
Düzgün Fatma Gamze, Iannizzotto Antonio   +1 more
doaj   +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

Groups of type $FP$ via graphical small cancellation

, 2020
We construct an uncountable family of groups of type $FP$. In contrast to every previous construction of non-finitely presented groups of type $FP$ we do not use Morse theory on cubical complexes; instead we use Gromov's graphical small cancellation ...
Brown, Thomas, Leary, Ian J
core  

ON STRATIFIED MORSE THEORY

Topology, 1999
The ``Fundamental Theorem'' of stratified Morse theory [\textit{M. Goresky} and \textit{R. MacPherson}, `Stratified Morse theory', Springer Berlin (1988; Zbl 0639.14012)] characterizes the transition between different levels of the Morse function in terms of tangential and normal Morse data.
openaire   +2 more sources

Generalized Chemical Model for Warm Dense Hydrogen: Ionization Potential Depression and Molecular Dissociation Shifts

Contributions to Plasma Physics, EarlyView.
ABSTRACT Warm dense matter (WDM) is a complex state, where quantum effects, thermal excitations, and strong interparticle correlations coexist. Understanding its microscopic composition and medium‐induced modifications of atomic and molecular properties is essential for planetary modeling, fusion research, and high‐energy‐density experiments.
L. T. Yerimbetova, Yu. V. Arkhipov, Ye. S. Mukhametkarimov, A. E. Davletov, I. M. Tkachenko   +4 more
wiley   +1 more source

Scalp‐negative medial temporal interictal epileptic discharges alter large‐scale brain networks: A simultaneous high‐density electroencephalographic and intracranial electroencephalographic study

Epilepsia, EarlyView.
Abstract Objective Interictal epileptiform discharges (IEDs) observed on scalp electroencephalography (EEG) serve as a diagnostic hallmark of epilepsy. However, only a small fraction of IEDs recorded by intracranial EEG (iEEG) are detectable on the scalp; the vast majority remain invisible on scalp recordings.
Nicolas Roehri, Pia De Stefano, Laurent Spinelli, Renaud Marquis, Stanislas Lagarde, Shahan Momjian, Margitta Seeck, Serge Vulliemoz   +7 more
wiley   +1 more source

Existence of three solutions for higher order BVP with parameters via Morse theory

Electronic Journal of Differential Equations, 2016
We prove the existence of at least three solutions to a general Lidstone problem using the Morse Theory.
Mariusz Jurkiewicz, Bogdan Przeradzki
doaj  

Discrete microlocal Morse theory

Journal of Pure and Applied Algebra
We establish several results combining discrete Morse theory and microlocal sheaf theory in the setting of finite posets and simplicial complexes. Our primary tool is a computationally tractable description of the bounded derived category of sheaves on a poset with the Alexandrov topology. We prove that each bounded complex of sheaves on a finite poset
Adam Brown, Ondřej Draganov
openaire   +2 more sources

Upsetting experiences in the lives of neurodivergent young people: A qualitative analysis of accounts of adolescents diagnosed with attention‐deficit/hyperactivity disorder and/or autism

JCPP Advances, EarlyView.
Abstract Background Accounts of emotional dysregulation in autism and attention‐deficit/hyperactivity disorder (ADHD) are typically based on external adult observations anchored in neurotypical notions of emotional responding. These often fail to place neurodivergent people's emotional responses in the context of the upsetting experiences they face ...
Georgia Pavlopoulou, Susie Chandler, Steve Lukito, Myrofora Kakoulidou, Isabel Jackson, Elisa Ly, Maciej Matejko, Beta Balwani, Tiegan Boyens, Dorian Poulton, Luke Harvey‐Nguyen, Sylvan Baker, Edmund J. S. Sonuga‐Barke, on behalf of the RE‐STAR team, Edmund Sonuga‐Barke, Susie Chandler, Andrea Danese, Johnny Downs, Eloise Funnell, Kirsty Griffiths, Myrofora Kakoulidou, Lauren Low, Steve Lukito, Umaya Prasad, Angus Roberts, Emily Simonoff, Daniel Stahl, Anna Wyatt, Georgia Pavlopoulou, Jane Hurry, Sylvan Baker, Graham Moore, Amy Edwards, Jessica Lennon, Dennis Ougrin, Amanda Roestorf, Rebecca Kirkbride, Claire Lewis, Jordan Altimimi, Beta Balwani, Saskia Barnes, Tiegan Boyens, Zoë Glen, C. J. Harris, Charlotte Hillman, Luke Harvey‐Nguyen, Isabel Jackson, Amber Johnson, Elisa Ly, Maciej Matejko, Dorian Poulton, Anya Rose, Darren Webb, Archie Wilson   +53 more
wiley   +1 more source

Multiplicity results for p-sublinear p-Laplacian problems involving indefinite eigenvalue problems via Morse theory

Electronic Journal of Differential Equations, 2010
We establish some multiplicity results for a class of p-sublinear p-Laplacian problems involving indefinite eigenvalue problems using Morse theory.
Kanishka Perera, Ravi P. Agarwal, Donal O'Regan   +2 more
doaj