Results 31 to 40 of about 5,896 (218)
FEBS Letters, EarlyView.Proteostasis and the gut microbiota play a key role in shaping host physiology. Microbiota‐derived metabolites, vitamins, and RNA modulate host proteostasis. Findings from model systems, including C. elegans, indicate microbes can either stabilize or disrupt host proteostasis.
Abhishek Anil Dubey, Maria Ermolaeva
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Hölder continuity of weak solution to a nonlinear problem with non-standard growth conditions
Boundary Value Problems, 2018 We study the Hölder continuity of weak solution u to an equation arising in the stationary motion of electrorheological fluids. To this end, we first obtain higher integrability of Du in our case by establishing a reverse Hölder inequality.
Zhong Tan, Jianfeng Zhou, Wenxuan Zheng
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Complexity, 2020 In this paper, we investigate a class of nonautonomous fractional diffusion equations (NFDEs). Firstly, under the condition of weighted Hölder continuity, the existence and two estimates of classical solutions are obtained by virtue of the properties of ...
Jia Mu, Yang Liu, Huanhuan Zhang
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Design and analysis strategies for robust microbiome ageing research
FEBS Letters, EarlyView.The gut microbiome changes with age and associates with age‐related morbidity and mortality, establishing it as a potential biomarker and intervention target for ageing. Realising this potential requires methodological rigour, yet distinguishing biological signals from methodological artefacts remains challenging across cohorts. This review provides an
Mark Olenik +5 more
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Electronic Journal of Differential Equations, 2015 We consider the regularity of solutions for some parabolic equations. We show Holder continuity with exponent $(1+\alpha )/2$, with respect to the time variable, when the gradient in the space variable of the solution has the Holder continuity with ...
Junichi Aramaki
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An alternative approach to partial regularity of quasilinear elliptic systems with VMO coefficients
Journal of Inequalities and Applications, 2016 In this paper, we provide an alternative approach to partially Hölder continuity of some quasilinear elliptic systems with discontinuous coefficients under natural growth.
Haiyan Yu, Shenzhou Zheng, Yuxia Tong
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Gradient estimates for the fundamental solution of Lévy type operator
Advances in Nonlinear Analysis, 2020 We prove a gradient estimate and the Hölder continuity of the gradient for the fundamental solution of a class of α-stable type operators with α ∈ (0, 1), which improve known results in the literature where the condition α > 1/2 is commonly assumed.
Liu Wei, Song Renming, Xie Longjie
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Boundary Value Problems, 2023 In this paper, we study discontinuous subelliptic systems with VMO coefficients related to Hörmander’s vector fields. In the case of growth exponential p ≥ 2 $p\geq 2$ , the regularity results of the partial Hölder continuity of weak solutions are ...
Yan Zhu, Jialin Wang, Dongni Liao
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Molecular Oncology, EarlyView.Dimethyl fumarate (DMF) reduces growth of HPV‐positive cervical cancer spheroids and induces ferroptosis in cervical cancer cells via blocking SLC7A11/Glutathione (GSH) axis. Combination of subcytotoxic doses of DMF and cisplatin (CDDP) further suppresses spheroid growth and drives cell death in 2D culture models.
Carolina Punziano +6 more
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A Note on Hölder Continuity of Solution Set for Parametric Vector Quasiequilibrium Problems
Abstract and Applied Analysis, 2011 By using a scalarization technique, we extend and sharpen the results in S. Li and X. Li (2011) on the Hölder continuity of the solution sets of parametric vector equilibrium problems to the case of parametric vector quasiequilibrium problems in ...
Xian-Fu Hu
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