Results 91 to 100 of about 31,295 (230)
British Journal of Clinical Pharmacology, EarlyView.Aim Cannabis‐based medicines are gaining interest and being explored for new therapeutic indications, many of which commonly affect older medical patients. As most previous studies of the population pharmacokinetics of cannabinoids have been performed in healthy adults, this study aimed to investigate the population pharmacokinetics of Δ9 ...
Ida Klitzing Storgaard +12 more
wiley +1 more source
Chemistry–Methods, EarlyView.Expanded porphyrins, with their flexible structures and rich redox chemistry, offer a powerful platform to explore how aromaticity shapes molecular properties. This review introduces a multidimensional framework to quantify Hückel and Möbius aromaticity and examines its impact on the spectroscopic behavior across redox‐ and topology‐controlled expanded
Freija De Vleeschouwer +2 more
wiley +1 more source
Eigenvalues for systems of fractional $p$-Laplacians [PDF]
Rocky Mountain Journal of Mathematics, 2018 We study the eigenvalue problem for a system of fractional $p-$Laplacians, that is, $$ \begin{cases} (- _p)^r u = \dfrac p|u|^{ -2}u|v|^ &\text{in } ,\vspace{.1cm} (- _p)^s u = \dfrac p|u|^ |v|^{ -2}v &\text{in } , u=v=0 &\text{in } ^c=\R^N\setminus . \end{cases} $$ We show that there is a first (smallest) eigenvalue that
Pezzo, Leandro M. Del, Rossi, Julio D.
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Sharp commutator estimates of all order for Coulomb and Riesz modulated energies
Communications on Pure and Applied Mathematics, EarlyView.Abstract We prove functional inequalities in any dimension controlling the iterated derivatives along a transport of the Coulomb or super‐Coulomb Riesz modulated energy in terms of the modulated energy itself. This modulated energy was introduced by the second author and collaborators in the study of mean‐field limits and statistical mechanics of ...
Matthew Rosenzweig, Sylvia Serfaty
wiley +1 more source
Laser &Photonics Reviews, EarlyView.Targeted Illumination Microscopy (TIM) enhances widefield fluorescence imaging by selectively illuminating dim neuronal fibers while suppressing bright cell bodies. Using real‐time image processing and a digital micromirror device, TIM achieves high‐contrast, optically sectioned, and motion‐resilient imaging in C.
Yao L. Wang +5 more
wiley +1 more source
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
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Nontrivial Solution for the Fractional p-Laplacian Equations via Perturbation Methods
Advances in Mathematical Physics, 2017 We study the existence of nontrivial solution of the following equation without compactness: (-Δ)pαu+up-2u=f(x,u), x∈RN, where N,p≥2, α∈(0,1), (-Δ)pα is the fractional p-Laplacian, and the subcritical p-superlinear term f∈C(RN×R) is 1-periodic in xi ...
Huxiao Luo, Shengjun Li, Xianhua Tang
doaj +1 more source
The fractional Laplacian: a primer
, 2023 In this note we give a glimpse of the fractional Laplacian. In particular, we bring several definitions of this non-local operator and series of proofs of its properties. It is structured in a way as to show that several of those properties are natural extensions of their local counterparts, with some key differences.
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT This paper investigates the generalized Hyers–Ulam stability of the Laplace equation subject to Neumann boundary conditions in the upper half‐space. Traditionally, Hyers–Ulam stability problems for differential equations are analyzed by examining the system's error, particularly in relation to a forcing term.
Dongseung Kang +2 more
wiley +1 more source
, 2014 The 1D discrete fractional Laplacian operator on a cyclically closed (periodic) linear chain with finitenumber $N$ of identical particles is introduced. We suggest a "fractional elastic harmonic potential", and obtain the $N$-periodic fractionalLaplacian
Collet, Bernard +3 more
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