Results 111 to 120 of about 299,484 (312)

Normalized solutions for nonautonomous Schrödinger–Poisson equations

open access: yesZeitschrift für angewandte Mathematik und Physik
In this paper, we study the existence of normalized solutions for the nonautonomous Schrödinger-Poisson equations \begin{equation}\nonumber -Δu+λu +\left(\vert x \vert ^{-1} * \vert u \vert ^{2} \right) u=A(x)|u|^{p-2}u,\quad \text{in}~\R^3, \end{equation} where $λ\in\R$, $A \in L^\infty(\R^3)$ satisfies some mild conditions.
Xu, Yating, Luo, Huxiao
openaire   +2 more sources

Solutions with prescribed mass for the Sobolev critical Schrödinger–Poisson system with p-Laplacian

open access: yesBulletin of Mathematical Sciences
In this paper, we are concerned with the existence and properties of ground states for the quasilinear Schrödinger–Poisson system with combined critical nonlinearities −Δpu+γϕ|u|p−2u=λ|u|p−2u+μ|u|q−2u+|u|p∗−2uin ℝ3,−Δϕ=|u|pin ℝ3, having prescribed mass ...
Kai Liu, Xiaoming He
doaj   +1 more source

Plasma extrachromosomal circular DNA as a biomarker in EGFR‐targeted therapy of non‐small cell lung cancer

open access: yesMolecular Oncology, EarlyView.
Detection of extrachromosomal circular DNA (eccDNA) in plasma samples from EGFR‐mutated non‐small cell lung cancer patients. Plasma was collected before and during treatment with the EGFR‐tyrosine kinase inhibitor osimertinib. Plasma eccDNA was detected in all cancer samples, and the presence of the EGFR gene on eccDNA serves as a potential biomarker ...
Simone Stensgaard   +5 more
wiley   +1 more source

Note on normalized solutions to a kind of fractional Schrödinger equation with a critical nonlinearity

open access: yesAIMS Mathematics
In this paper, we study normalized solutions of the fractional Schrödinger equation with a critical nonlinearity$ \begin{eqnarray*} \left\{ \begin{array}{lll} (-\Delta)^su = \lambda u+|u|^{p-2}u+|u|^{2^\ast_s-2}u, & x\in \mathbb{R}^N, \\ \int_ ...
Xizheng Sun, Zhiqing Han
doaj   +1 more source

Glycosylated LGALS3BP is highly secreted by bladder cancer cells and represents a novel urinary disease biomarker

open access: yesMolecular Oncology, EarlyView.
Urinary LGALS3BP is elevated in bladder cancer patients compared to healthy controls as detected by the 1959 antibody–based ELISA. The antibody shows enhanced reactivity to the high‐mannose glycosylated variant secreted by cancer cells treated with kifunensine (KIF).
Asia Pece   +18 more
wiley   +1 more source

Normalized solutions to a class of (2, q)-Laplacian equations

open access: yesAdvanced Nonlinear Studies
This paper is concerned with the existence of normalized solutions to a class of (2, q)-Laplacian equations in all the possible cases with respect to the mass critical exponents 2(1 + 2/N), q(1 + 2/N).
Baldelli Laura, Yang Tao
doaj   +1 more source

Survivin and Aurora Kinase A control cell fate decisions during mitosis

open access: yesMolecular Oncology, EarlyView.
Aurora A interacts with survivin during mitosis and regulates its centromeric role. Loss of Aurora A activity mislocalises survivin, the CPC and BubR1, leading to disruption of the spindle checkpoint and triggering premature mitotic exit, which we refer to as ‘mitotic slippage’.
Hana Abdelkabir   +2 more
wiley   +1 more source

Normalized solutions for Sobolev critical Schrodinger-Bopp-Podolsky systems

open access: yesElectronic Journal of Differential Equations, 2023
Yuxin Li, Xiaojun Chang, Zhaosheng Feng
doaj  

Blow-up solutions to the Hartree-Fock type Schrödinger equation with the critical rotational speed

open access: yesAdvances in Nonlinear Analysis
In this article, we are concerned with the existence, non-existence, and blow-up behavior of normalized ground state solutions for the mass critical Hartree-Fock type Schrödinger equation with rotation i∂tu=−Δu+2V(x)u+2ΩLzu−λu−bu∫RN∣u(y)∣2∣x−y∣2dy,(t,x ...
Tu Yuanyuan, Wang Jun
doaj   +1 more source

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