Results 71 to 80 of about 19,529 (303)
Weighted critical exponents of Sobolev-type embeddings for radial functions
Advanced Nonlinear Studies, 2022 In this article, we prove the upper weighted critical exponents for some embeddings from weighted Sobolev spaces of radial functions into weighted Lebesgue spaces. We also consider the lower critical exponent for certain embedding.
Su Jiabao, Wang Cong
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Critical Exponents of the Riesz Projection
Computational Methods and Function TheoryLet $\mathfrak{p}_d(q)$ denote the critical exponent of the Riesz projection from $L^q(\mathbb{T}^d)$ to the Hardy space $H^p(\mathbb{T}^d)$, where $\mathbb{T}$ is the unit circle. We present the state-of-the-art on the conjecture that $\mathfrak{p}_1(q) = 4(1-1/q)$ for $1 \leq q \leq \infty$ and prove that it holds in the endpoint case $q = 1$.
Brevig, Ole Fredrik +2 more
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Critical Exponents for Random Knots [PDF]
Physical Review Letters, 2000 The size of a zero thickness (no excluded volume) polymer ring is shown to scale with chain length $N$ in the same way as the size of the excluded volume (self-avoiding) linear polymer, as $N^ν$, where $ν\approx 0.588$. The consequences of that fact are examined, including sizes of trivial and non-trivial knots.
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Why human connection is the true metric of research success
FEBS Open Bio, EarlyView.Human‐centred mentorship can be shaped by mentor attributes, actions, intrinsic drive and career ambition. Drawing on reflections across Singapore and France, as well as workshop insights from FEBS‐IUBMB ENABLE 2024, this article shows that human‐centred mentorship creates the conditions for sustainable growth, well‐being and retention in research ...
Timothy Lin Yun Tan +3 more
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Determination of universal critical exponents using Lee-Yang theory
Physical Review Research, 2019 Lee-Yang zeros are points in the complex plane of an external control parameter at which the partition function vanishes for a many-body system of finite size.
Aydin Deger, Christian Flindt
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Small perturbations of critical nonlocal equations with variable exponents
Demonstratio Mathematica, 2023 In this article, we are concerned with the following critical nonlocal equation with variable exponents: (−Δ)p(x,y)su=λf(x,u)+∣u∣q(x)−2uinΩ,u=0inRN\Ω,\left\{\begin{array}{ll}{\left(-\Delta )}_{p\left(x,y)}^{s}u=\lambda f\left(x,u)+{| u| }^{q\left(x)-2}u&
Tao Lulu, He Rui, Liang Sihua
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Corrigendum to “The critical exponent functions”
Comptes Rendus. MathématiqueWe give a corrigendum to our paper [1] entitled “The critical exponent functions”.
Corona, Dario, Della Corte, Alessandro
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Aquaporin‐3 and aquaporin‐5 impact the development of pancreatic ductal adenocarcinoma spheroids
FEBS Open Bio, EarlyView.Schematic representation of the role of aquaporin‐3 (AQP3) and aquaporin‐5 (AQP5) in pancreatic ductal adenocarcinoma (PDAC). Both proteins are upregulated in PDAC and are associated with tumor progression and metastatic potential. Silencing AQP3 or AQP5 in PDAC spheroids results in decreased diameter, area, and overall growth, underscoring their key ...
Catarina Pimpão +3 more
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Lyapunov exponents, phase transition and chaos bound in Kerr-Newman AdS spacetime
Nuclear Physics BIn this paper, we investigate Lyapunov exponents associated with chaotic motions of both massless and massive particles in the vicinity of a Kerr-Newman AdS black hole.
Chuang Yang +3 more
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Aging and Cancer, EarlyView.ABSTRACT As global populations age, cancer is increasingly becoming a leading cause of morbidity and mortality among older adults, particularly in low‐ and middle‐income countries (LMICs). Despite accounting for the majority of new cancer cases and deaths, older individuals remain underrepresented in cancer research, clinical guidelines, and health ...
Ibrahim Bidemi Abdullateef +2 more
wiley +1 more source