Results 101 to 110 of about 110,593 (279)
Movement Disorders, EarlyView.Abstract Background The RAB32 p.Ser71Arg variant is a novel cause of monogenic Parkinson's disease (PD), for which detailed phenotypic information is currently scarce. Objectives Our aim was to clinically and biologically characterize individuals with PARK‐RAB32 to gain insights into genotype–phenotype relationships, disease severity, and underlying ...
Teresa Kleinz +27 more
wiley +1 more source
Uniqueness of a positive solution for quasilinear elliptic equations in Heisenberg group
Electronic Journal of Differential Equations, 2016 In this note we address the question of uniqueness of the Brezis-Oswald problem for the p-Laplacian operator in Heisenberg Group.
Kaushik Bal
doaj
Cazenave‐Dickstein‐Weissler‐Type Extension of Fujita'S Problem on Heisenberg Groups
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT This paper investigates the Fujita critical exponent for a heat equation with nonlinear memory posed on the Heisenberg groups. A sharp threshold is identified such that, for exponent values less than or equal to this critical value, no global solution exists, regardless of the choice of nonnegative initial data. Conversely, for exponent values
Mokhtar Kirane +3 more
wiley +1 more source
Proteomics Insights Into Lysosome Biogenesis and Maturation
PROTEOMICS, EarlyView.ABSTRACT Lysosomes constitute the main degradative organelle of most eukaryotic cells and are capable of breaking down a wide spectrum of biomolecules, including proteins, lipids, glycans, and DNA/RNA. They play crucial roles in the regulation of cellular homeostasis, acting as metabolic signaling centers for the correlation of nutrient availability ...
Katharina Hirn +2 more
wiley +1 more source
Hardy’s inequalities for the twisted convolution with Laguerre functions
Journal of Inequalities and Applications, 2017 In this article, two types of Hardy’s inequalities for the twisted convolution with Laguerre functions are studied. The proofs are mainly based on an estimate for the Heisenberg left-invariant vectors of the special Hermite functions deduced by the ...
Jinsen Xiao, Jianxun He
doaj +1 more source
Synergies in Self‐Assembly—From Supramolecular Polymers to Defined Hierarchical Superstructures
Journal of Polymer Science, EarlyView.Shaping supramolecular polymers built from molecular building blocks into superstructures with defined dimensions. Synergies within supramolecular architectures such as chirality or an additional second orthogonal driving force that does not interfere with the central supramolecular motif facilitate the confinement of the growth of these ...
Klaus Kreger +2 more
wiley +1 more source
An integral formula on the Heisenberg group [PDF]
Annali di Matematica Pura ed Applicata, 2012 Let Hn denote the (2n + 1)-dimensional (sub-Riemannian) Heisenberg group. In this note, we shall prove an integral identity (see Theorem 1.2) which generalizes a formula obtained in the Seventies by Reilly. Some first applications will be given in Section 4.
openaire +4 more sources
A Plancherel measure for the discrete Heisenberg group [PDF]
, 1979 Tadeusz Pytlik
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Relational Bundle Geometric Formulation of Non‐Relativistic Quantum Mechanics
Fortschritte der Physik, EarlyView.Abstract A bundle geometric formulation of non‐relativistic many‐particles Quantum Mechanics is presented. A wave function is seen to be a C$\mathbb {C}$‐valued cocyclic tensorial 0‐form on configuration space‐time seen as a principal bundle, while the Schrödinger equation flows from its covariant derivative, with the action functional supplying a ...
J. T. François, L. Ravera
wiley +1 more source
Non-local elliptic systems on the Heisenberg group
Electronic Journal of Differential Equations, 2016 We present Liouville type results for certain systems of nonlinear elliptic equations containing fractional powers of the Laplacian on the Heisenberg group.
Nasser Al-Salti, Sebti Kerbal
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