Results 101 to 110 of about 5,619,071 (301)
On the number of positive solutions of nonlinear systems
Journal of Mathematical Analysis and Applications, 2003 This paper is devoted to the existence, multiplicity and nonexistence of positive solutions to boundary value problems on \([0,1]\) for a class of second-order differential systems where the main common operator is the one-dimensional \(p\)-Laplacian, \(p> 1\). The author uses a fixed-point theorem in a cone due to \textit{M. A.
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Positive Solutions for Nonlinear Eigenvalue Problems
Journal of Mathematical Analysis and Applications, 1997 The authors are concerned with determining values of \(\lambda\) (eigenvalues), for which there exist positive solutions of the boundary value problem \[ (1_\lambda)\quad u''+\lambda a(t)f(u)=0 ...
Haiyan Wang, Johnny Henderson
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The role of fibroblast growth factors in cell and cancer metabolism
FEBS Letters, EarlyView.Fibroblast growth factor (FGF) signaling regulates crucial signaling cascades that promote cell proliferation, survival, and metabolism. Therefore, FGFs and their receptors are often dysregulated in human diseases, including cancer, to sustain proliferation and rewire metabolism.
Jessica Price, Chiara Francavilla
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On a property of positive integer solution of equation $\sum_{i=1}^k r_i=n$ [PDF]
, 1957 Karel Čulík
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FEBS Letters, EarlyView.Fluorescent probes allow dynamic visualization of phosphoinositides in living cells (left), whereas mass spectrometry provides high‐sensitivity, isomer‐resolved quantitation (right). Their synergistic use captures complementary aspects of lipid signaling. This review illustrates how these approaches reveal the spatiotemporal regulation and quantitative
Hiroaki Kajiho +3 more
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Electronic Journal of Differential Equations, 2011 We study the semilinear elliptic system $$ Delta u=lambda p(x)f(v),Delta v=lambda q(x)g(u), $$ in an unbounded domain D in $ mathbb{R}^2$ with compact boundary subject to some Dirichlet conditions.
Abdeljabbar Ghanmi, Faten Toumi
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Positive solutions of Schrodinger-Poisson systems with Hardy potential and indefinite nonlinearity
Electronic Journal of Differential Equations, 2020 In this article, we study the nonlinear Schrodinger-Poisson system $$\displaylines{ -\Delta u+u-\mu\frac{u}{|x|^2}+l(x) \phi u=k(x)|u|^{p-2}u \quad x\in\mathbb{R}^3, \cr -\Delta\phi=l(x)u^2 \quad x\in\mathbb{R}^3, }$$ where $k\in C(\mathbb{R}^3 ...
Yongyi Lan, Biyun Tang, Xian Hu
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Existence of a positive solution for nonlinear Schrödinger equations with general nonlinearity
Advances in Nonlinear Analysis, 2014 We study the following nonlinear Schrödinger equations: -Δu+V(x)u=f(u)inℝN.$ - \Delta u + V(x) u = f(u) \quad \text{in } {\mathbb {R}^N}. $ The purpose of this paper is to establish the existence of a positive solution under general conditions which are ...
Sato Yohei, Shibata Masataka
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Positive Solutions of Superlinear Elliptic Equations
Journal of Functional Analysis, 1999 Let \(\Omega\subset \mathbb{R}^N\) be a bounded convex domain with smooth boundary \(\Omega\) and \(f: \mathbb{R}^+\to \mathbb{R}\) be a locally Lipschitz continuous function with \(f(0)\geq 0\). The elliptic problems \[ -\Delta u= f(u),\quad u>0,\quad x\in\Omega,\quad u= 0,\quad x\in\partial\Omega;\tag{1} \] and \[ -\Delta u=\lambda f(u),\quad u>0 ...
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A Cre‐dependent lentiviral vector for neuron subtype‐specific expression of large proteins
FEBS Letters, EarlyView.We designed a versatile and modular lentivector comprising a Cre‐dependent switch and self‐cleaving 2A peptide and tested it for co‐expression of GFP and a 2.8 kb gene of interest (GOI) in mouse cortical parvalbumin (PV+) interneurons and midbrain dopamine (TH+) neurons.
Weixuan Xue +6 more
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