Results 111 to 120 of about 11,751,266 (377)
Multi-bump solutions for Schrödinger equation involving critical growth and potential wells
, 2015 In this paper, we consider the following Schrodinger equation with critical growth $$-\Delta u+(\lambda a(x)-\delta)u=|u|^{2^*-2}u \quad \hbox{ in } \mathbb{R}^N, $$ where $N\geq 5$, $2^*$ is the critical Sobolev exponent, $\delta>0$ is a constant, $a(x)
Yuxia Guo, Z. Tang
semanticscholar +1 more source
Molecular Oncology, EarlyView.This study demonstrates that KRAS and GNAS mutations are more prevalent in patients with resected intraductal papillary mucinous neoplasms (IPMN) compared to those under clinical surveillance. GNAS mutations significantly differ between the two patient cohorts, indicating that their absence may serve as a potential biomarker to support conservative ...
Christine Nitschke +12 more
wiley +1 more source
Electronic Journal of Differential Equations, 2019 In this article we consider the multiplicity and concentration behavior of positive solutions for the fractional nonlinear Schrodinger equation $$\displaylines{ \varepsilon^{2s}(-\Delta)^{s}u + V(x)u= u^{2^*_s-1} + f(u) , \quad x\in\mathbb{R}^N ...
Xudong Shang, Jihui Zhang
doaj
Molecular 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
Critical quasilinear Schrodinger equation with sign-changing potential
Electronic Journal of Differential Equations, 2016 We study the existence of nontrivial solutions for a class of quasilinear Schrodinger equations in R^N with critical nonlinearity, where the potential is allowed to change signs.
Li-Li Wang, Zhi-Qing Han
doaj
Molecular Oncology, EarlyView.The authors applied joint/mixed models that predict mortality of trifluridine/tipiracil‐treated metastatic colorectal cancer patients based on circulating tumor DNA (ctDNA) trajectories. Patients at high risk of death could be spared aggressive therapy with the prospect of a higher quality of life in their remaining lifetime, whereas patients with a ...
Matthias Unseld +7 more
wiley +1 more source
Critical percolation on any quasi-transitive graph of exponential growth has no infinite clusters [PDF]
arXiv, 2016 We prove that critical percolation on any quasi-transitive graph of exponential volume growth does not have a unique infinite cluster. This allows us to deduce from earlier results that critical percolation on any graph in this class does not have any infinite clusters. The result is new when the graph in question is either amenable or nonunimodular.
arxiv
Elliptic equations with nearly critical growth
Journal of Differential Equations, 1987 > (N f 2)/(N - 2) it has no solution for any (star-shaped) domain [13]. Recently, considerable interest has grown around problems like (I) in which the right hand side up is replaced by a perturbation f(u) of the pure power, such as f(u) = Au” + up, where 1 E Iw and 0
F. V. Atkinson, Lambertus A. Peletier
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Molecular Oncology, EarlyView.Breast tumor samples scored for metabolic deregulation (M1 to M3) were given a hypoxia score (HS). The highest HS occurred in patients with strongest metabolic deregulation (M3), supporting tumor aggressiveness. HS correlated with the highest number of metabolic pathways in M1. This suggests hypoxia to be an early event in metabolic deregulation.
Raefa Abou Khouzam +2 more
wiley +1 more source
A critical examination of methods of evaluating vitamin A by means of the growth of rats [PDF]
, 1928 Eleanor Margaret Hume +1 more
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