Results 1 to 10 of about 19,200,433 (281)

Eigenvalues of p(x)-Laplacian Dirichlet problem

Journal of Mathematical Analysis and Applications, 2005
The authors consider the eigenvalue problem \(-{\text{ div}} (| \nabla u| ^{p(x)-2}\nabla u)=\lambda | u| ^{p(x)-2}u\) in \(\Omega\), \(u=0\) on \(\partial\Omega\), where \(\Omega\) is a bounded open subset of \(\mathbb R^{n}\) and \(p(\cdot)\) is a continuous function of \(\bar{\Omega}\) to \(]1,+\infty[\), and show that the set of variational ...
Qihu Zhang, Dun Zhao
exaly   +2 more sources

Cytochrome-c aptamer functionalized Pt nanoclusters for enhanced chemodynamic therapy

Journal of Innovative Optical Health Sciences, 2021
Catalysis-based chemodynamic therapy (CDT) is an emerging cancer treatment strategy which uses a Fenton-like reaction to kill tumor cells by catalyzing endogenous hydrogen peroxide (H2O2) into a toxic hydroxyl radical (⋅OH).
Bo Feng, Dan Zhao, Yaowei Peng, Fu Wang
doaj   +1 more source

Separation of cortical arteries and veins in optical neurovascular imaging [PDF]

Journal of Innovative Optical Health Sciences, 2014
Separation of arteries and veins in the cerebral cortex is of significant importance in the studies of cortical hemodynamics, such as the changes of cerebral blood flow, perfusion or oxygen concentration in arteries and veins under different pathological
Linna Zhao, Yao Li, Hongyang Lu, Lu Yuan, Shanbao Tong   +4 more
doaj   +1 more source

Cell counting for in vivo flow cytometry signals with baseline drift [PDF]

Journal of Innovative Optical Health Sciences, 2017
In biomedical research fields, the in vivo flow cytometry (IVFC) is a widely used technology which is able to monitor target cells dynamically in living animals.
Xiaoling Wang, Yuanzhen Suo, Dan Wei, Hao He, Fan Wu, Xunbin Wei   +5 more
doaj   +1 more source

Asymptotic behavior of the eigenvalues of the p(x)-Laplacian [PDF]

Manuscripta Mathematica, 2014
We obtain asymptotic estimates for the eigenvalues of the p(x)-Laplacian defined consistently with a homogeneous notion of first eigenvalue recently introduced in the literature.
Perera, K., Squassina, Marco
openaire   +4 more sources

Existence of radial solutions for a $p(x)$-Laplacian Dirichlet problem [PDF]

Advances in Difference Equations, 2021
AbstractIn this paper, using variational methods, we prove the existence of at least one positive radial solution for the generalized$p(x)$p(x)-Laplacian problem$$ -\Delta _{p(x)} u + R(x) u^{p(x)-2}u=a (x) \vert u \vert ^{q(x)-2} u- b(x) \vert u \vert ^{r(x)-2} u $$−Δp(x)u+R(x)up(x)−2u=a(x)|u|q(x)−2u−b(x)|u|r(x)−2uwith Dirichlet boundary condition in ...
Maria Alessandra Ragusa, A. Razani, Farzaneh Safari   +2 more
openaire   +4 more sources

Inhomogeneous minimization problems for the p(x)-Laplacian [PDF]

Journal of Mathematical Analysis and Applications, 2019
We study an inhomogeneous minimization problems associated to the $p(x)$-Laplacian. We make a thorough analysis of the essential properties of their minimizers and we establish a relationship with a suitable free boundary problem. On the one hand, we study the problem of minimizing the functional $J(v)=\int_Ω\Big(\frac{|\nabla v|^{p(x)}}{p(x)}+λ(x)χ_{\{
Lederman, Claudia, Wolanski, Noemi
openaire   +2 more sources

Near infra-red light treatment of Alzheimer’s disease [PDF]

Journal of Innovative Optical Health Sciences, 2018
Alzheimer’s disease (AD) is a chronic neurodegenerative disease. The symptoms include memory and spatial learning difficulties, language disorders, and loss of motivation, which get worse over time, eventually ending in death. No effective treatments are
Mengmeng Han, Qiyan Wang, Xue Wang, Yuhui Zeng, Yong Huang, Qingqiang Meng, Jun Zhang, Xunbin Wei   +7 more
doaj   +1 more source

A free boundary problem for the -Laplacian [PDF]

Nonlinear Analysis: Theory, Methods & Applications, 2010
We consider the optimization problem of minimizing $\int_Ω|\nabla u|^{p(x)}+ λχ_{\{u>0\}} dx$ in the class of functions $W^{1,p(\cdot)}(Ω)$ with $u-ϕ_0\in W_0^{1,p(\cdot)}(Ω)$, for a given $ϕ_0\geq 0$ and bounded. $W^{1,p(\cdot)}(Ω)$ is the class of weakly differentiable functions with $\int_Ω|\nabla u|^{p(x)} dx0\}$, is a regular surface.
Fernandez Bonder, Julian, Martinez, Sandra Rita, Wolanski, Noemi Irene   +2 more
openaire   +4 more sources

Seasonal Herbaceous Structure and Biomass Production Response to Rainfall Reduction and Resting Period in the Semi-Arid Grassland Area of South Africa

Agronomy, 2020
Reduction in rainfall is amongst the major climate change manifestation phenomena, and will have a significant impact on grassland ecosystems. A split plot experimental design was used to investigate the interactive effect of rainfall reduction and ...
Thabo Patrick Magandana, Abubeker Hassen, Eyob Habte Tesfamariam   +2 more
doaj   +1 more source