Results 91 to 100 of about 1,041,285 (289)
Normalized solutions for the Choquard equations with critical nonlinearities
Advances in Nonlinear AnalysisThis study is concerned with the existence of normalized solutions for the Choquard equations with critical nonlinearities −Δu+λu=f(u)+(Iα∗∣u∣2α*)∣u∣2α*−2u,inRN,∫RN∣u∣2dx=a2,\left\{\begin{array}{l}-\Delta u+\lambda u=f\left(u)+\left({I}_{\alpha }\ast ...
Gao Qian, He Xiaoming
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Regularity of solutions of the parabolic normalized p-Laplace equation
Advances in Nonlinear Analysis, 2018 The parabolic normalized p-Laplace equation is studied. We prove that a viscosity solution has a time derivative in the sense of Sobolev belonging locally to L2{L^{2}}.
Høeg Fredrik Arbo, Lindqvist Peter
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ATF4‐mediated stress response as a therapeutic vulnerability in chordoma
Molecular Oncology, EarlyView.We screened 5 chordoma cell lines against 100+ inhibitors of epigenetic and metabolic pathways and kinases and identified halofuginone, a tRNA synthetase inhibitor. Mechanistically halofuginone induces an integrated stress response, with eIF2alpha phosphorylation, activation of ATF4 and its target genes CHOP, ASNS, INHBE leading to cell death ...
Lucia Cottone +11 more
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Electronic Journal of Differential EquationsIn this article we study the existence of normalized solutions to the Kirchhoff-Boussinesq equation under the mass constraint $\|u\|_{2}=c$. In the $L^{2}$-subcritical regime, we apply Ekeland's variational principle and concentration compactness method ...
Chunling Tao, Lintao Liu, Kaimin Teng
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Cell surface interactome analysis identifies TSPAN4 as a negative regulator of PD‐L1 in melanoma
Molecular Oncology, EarlyView.Using cell surface proximity biotinylation, we identified tetraspanin TSPAN4 within the PD‐L1 interactome of melanoma cells. TSPAN4 negatively regulates PD‐L1 expression and lateral mobility by limiting its interaction with CMTM6 and promoting PD‐L1 degradation.
Guus A. Franken +7 more
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Molecular Oncology, EarlyView.Pharmacologic ascorbate (vitamin C) increases ROS, disrupts cellular metabolism, and induces DNA damage in CRPC cells. These effects sensitize tumors to PARP inhibition, producing synergistic growth suppression with olaparib in vitro and significantly delayed tumor progression in vivo. Pyruvate rescue confirms ROS‐dependent activity.
Nicolas Gordon +13 more
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Positive Normalized Solutions to a Kind of Fractional Kirchhoff Equation with Critical Growth
Fractal and FractionalIn this paper, we have investigated the existence of normalized solutions for a class of fractional Kirchhoff equations involving nonlinearity and critical nonlinearity. The nonlinearity satisfies L2-supercritical conditions.
Shiyong Zhang, Qiongfen Zhang
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LDAcoop: Integrating non‐linear population dynamics into the analysis of clonogenic growth in vitro
Molecular Oncology, EarlyView.Limiting dilution assays (LDAs) quantify clonogenic growth by seeding serial dilutions of cells and scoring wells for colony formation. The fraction of negative wells is plotted against cells seeded and analyzed using the non‐linear modeling of LDAcoop.
Nikko Brix +13 more
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Normalized solutions for nonlinear Schrödinger systems with critical exponents
Advanced Nonlinear StudiesIn this paper, we consider the following nonlocal Schrödinger system−a+b∫R3|∇u1|2dxΔu1=λ1u1+μ1|u1|p1−2u1+βr1|u1|r1−2u1|u2|r2,−a+b∫R3|∇u2|2dxΔu2=λ2u2+μ2|u2|p2−2u2+βr2|u1|r1|u2|r2−2u2,∫R3|u1|2dx=c1,∫R3|u2|2dx=c2.
Hu Jiaqing, Mao Anmin
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