Results 81 to 90 of about 1,638,815 (287)

A Sufficient Condition for the Existence of a Principal Eigenvalue for Nonlocal Diffusion Equations with Applications [PDF]

open access: yesarXiv, 2013
Considerable work has gone into studying the properties of nonlocal diffusion equations. The existence of a principal eigenvalue has been a significant portion of this work. While there are good results for the existence of a principal eigenvalue equations on a bounded domain, few results exist for unbounded domains.
arxiv  

On‐treatment dynamics of circulating extracellular vesicles in the first‐line setting of patients with advanced non‐small cell lung cancer: the LEXOVE prospective study

open access: yesMolecular Oncology, EarlyView.
The LEXOVE prospective study evaluated plasma cell‐free extracellular vesicle (cfEV) dynamics using Bradford assay and dynamic light scattering in metastatic non‐small cell lung cancer patients undergoing first‐line treatments, correlating a ∆cfEV < 20% with improved median progression‐free survival in responders versus non‐responders.
Valerio Gristina   +17 more
wiley   +1 more source

Existence and concentration of solutions for a p-laplace equation with potentials in R^N

open access: yesElectronic Journal of Differential Equations, 2010
We study the p-Laplace equation with Potentials $$ -hbox{div}(| abla u|^{p-2} abla u)+lambda V(x)|u|^{p-2}u=|u|^{q-2}u, $$ $uin W^{1,p}(mathbb{R}^N)$, $xin mathbb{R}^N$ where $2leq p$, $p<q<p^{*}$. Using a concentration-compactness principle
Mingzhu Wu, Zuodong Yang
doaj  

Existence et temporalité chez Suárez. De l’ontologie au politique

open access: yesScientia et Fides, 2017
Existence and temporality according to Suarez.From ontology to politicsIn Suarez’s metaphysics, there is an equivalence regarding to ens ab alio between duration and permanence in being.
Jean-Paul Coujou
doaj   +1 more source

Existence and non-existence of minimizers for Poincaré-Sobolev inequalities [PDF]

open access: yesarXiv, 2018
In this paper we study the existence and non-existence of minimizers for a type of (critical) Poincar\'{e}-Sobolev inequalities. We show that minimizers do exist for smooth domains in $\mathbb{R}^d$, an also for some polyhedral domains. On the other hand, we prove the non-existence of minimizers in the rectangular isosceles triangle in $\mathbb{R}^2$.
arxiv  

Cellular liquid biopsy provides unique chances for disease monitoring, preclinical model generation and therapy adjustment in rare salivary gland cancer patients

open access: yesMolecular Oncology, EarlyView.
We quantified and cultured circulating tumor cells (CTCs) of 62 patients with various cancer types and generated CTC‐derived tumoroid models from two salivary gland cancer patients. Cellular liquid biopsy‐derived information enabled molecular genetic assessment of systemic disease heterogeneity and functional testing for therapy selection in both ...
Nataša Stojanović Gužvić   +31 more
wiley   +1 more source

Fractional boundary value problems with multiple orders of fractional derivatives and integrals

open access: yesElectronic Journal of Differential Equations, 2017
In this article we study a new class of boundary value problems for fractional differential equations and inclusions with multiple orders of fractional derivatives and integrals, in both fractional differential equation and boundary conditions.
Sotiris K. Ntouyas, Jessada Tariboon
doaj  

Existence and non-existence results for the SU(3) singular Toda system on compact surfaces [PDF]

open access: yesarXiv, 2015
We consider the SU(3) Toda system on a compact surface. We give both existence and non-existence results under some conditions on the parameters. Existence results are obtained using variational methods, which involve a geometric inequality of new type; non-existence results are obtained using blow-up analysis and localized Pohozaev identities.
arxiv  

Combined spatially resolved metabolomics and spatial transcriptomics reveal the mechanism of RACK1‐mediated fatty acid synthesis

open access: yesMolecular Oncology, EarlyView.
The authors analyzed the spatial distributions of gene and metabolite profiles in cervical cancer through spatial transcriptomic and spatially resolved metabolomic techniques. Pivotal genes and metabolites within these cases were then identified and validated.
Lixiu Xu   +3 more
wiley   +1 more source

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