Results 121 to 130 of about 1,041,285 (289)
Normalized solutions of Schrödinger equations involving Moser-Trudinger critical growth
Advances in Nonlinear AnalysisIn this article, we are concerned with the nonlinear Schrödinger equation −Δu+λu=μ∣u∣p−2u+f(u),inR2,-\Delta u+\lambda u=\mu {| u| }^{p-2}u+f\left(u),\hspace{1em}\hspace{0.1em}\text{in}\hspace{0.1em}\hspace{0.33em}{{\mathbb{R}}}^{2}, having prescribed ...
Li Gui-Dong, Zhang Jianjun
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Normalized solutions for planar Schrödinger–Poisson equation with mixed nonlinearities
Bulletin of Mathematical SciencesThis paper deals with the following Schrödinger–Poisson equation with mixed nonlinearities: −Δu+λu+12π(ln|⋅|∗|u|2)u=μ|u|q−2u+|u|p−2u,x∈ℝ2,∫ℝ2u2dx=c, where [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] is a given real ...
Muhua Shu, Lixi Wen, Heng Yang
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Molecular Oncology, EarlyView.Meta‐transcriptome analysis identified FGF19 as a peptide enteroendocrine hormone associated with colorectal cancer prognosis. In vivo xenograft models showed release of FGF19 into the blood at levels that correlated with tumor volumes. Tumoral‐FGF19 altered murine liver metabolism through FGFR4, thereby reducing bile acid synthesis and increasing ...
Jordan M. Beardsley +5 more
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Molecular Oncology, EarlyView.This work identified serum proteins associated with pancreatic epithelial neoplasms (PanINs) and early‐stage PDAC. Proteomics screens assessed genetically engineered mice with abundant PanINs, KPC mice (Lox‐STOP‐Lox‐KrasG12D/+ Lox‐STOP‐Lox‐Trp53R172H/+ Pdx1‐Cre) before PDAC development and also early‐stage PDAC patients (n = 31), compared to benign ...
Hannah Mearns +10 more
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Existence of normalized solutions for Schrödinger systems with linear and nonlinear couplings
Boundary Value ProblemsIn this paper we study the nonlinear Bose–Einstein condensates Schrödinger system { − Δ u 1 − λ 1 u 1 = μ 1 u 1 3 + β u 1 u 2 2 + κ ( x ) u 2 in R 3 , − Δ u 2 − λ 2 u 2 = μ 2 u 2 3 + β u 1 2 u 2 + κ ( x ) u 1 in R 3 , ∫ R 3 u 1 2 = a 1 2 , ∫ R 3 u 2 2 =
Zhaoyang Yun, Zhitao Zhang
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Multiple normalized solutions for $(2,q)$-Laplacian equation problems in whole $\mathbb{R}^{N}$
Electronic Journal of Qualitative Theory of Differential EquationsThis paper considers the existence of multiple normalized solutions of the following $(2,q)$-Laplacian equation: \begin{equation*} \begin{cases} -\Delta u-\Delta_q u=\lambda u+h(\epsilon x)f(u), &\mathrm{in}\ \mathbb{R}^{N},\\ \int_{\mathbb{R}^{N}}|u|^
Renhua Chen, Li Wang, Xin Song
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Molecular Oncology, EarlyView.Aldehyde dehydrogenase 1A1 (ALDH1A1) is a cancer stem cell marker in several malignancies. We established a novel epithelial cell line from rectal adenocarcinoma with unique overexpression of this enzyme. Genetic attenuation of ALDH1A1 led to increased invasive capacity and metastatic potential, the inhibition of proliferation activity, and ultimately ...
Martina Poturnajova +25 more
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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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Existence of solutions to a normalized F-infinity Laplacian equation
Electronic Journal of Differential Equations, 2014 In this article, for a continuous function F that is twice differentiable at a point $x_0$, we define the normalized F-infinity Laplacian $\Delta_{F; \infty}^N$ which is a generalization of the usual normalized infinity Laplacian. Then for a bounded
Hua Wang, Yijun He
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