Results 61 to 70 of about 8,898,771 (321)
Existence and uniqueness of solutions to singular ODE’s
Archiv der Mathematik, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gorka, Przemyslaw, Rybka, Piotr
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PERTURBING SINGULAR SOLUTIONS OF THE GELFAND PROBLEM [PDF]
Communications in Contemporary Mathematics, 2007 The equation -Δu = λeuposed in the unit ball B ⊆ ℝN, with homogeneous Dirichlet condition u|∂B= 0, has the singular solution [Formula: see text] when λ = 2(N - 2). If N ≥ 4 we show that under small deformations of the ball there is a singular solution (u,λ) close to (U,2(N - 2)).
Davila, J., Dupaigne, L.
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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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Asymptotic behavior of singular solutions to semilinear fractional elliptic equations
Electronic Journal of Differential Equations, 2014 In this article we study the asymptotic behavior of positive singular solutions to the equation $$ (-\Delta)^{\alpha} u+u^p=0\quad\text{in } \Omega\setminus\{0\}, $$ subject to the conditions $u=0$ in $\Omega^c$ and $\lim_{x\to0}u(x)=\infty ...
Guowei Lin, Xiongjun Zheng
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Twin Solutions to Singular Dirichlet Problems
Journal of Mathematical Analysis and Applications, 1999 The authors consider the Dirichlet second-order boundary value problem \[ y''+ \phi(t)[g(y(t))+ h(y(t))]= 0,\quad 0< t< 1,\quad y(0)= y(1)= 0,\tag{1} \] and establish the existence of two solutions \(y_1,y_2\in C[0,1]\cap C^2(0, 1)\) with \(y_1> 0\), \(y_2> 0\) on \((0,1)\). The nonlinearity in (1) may be singular at \(y= 0\), \(t= 0\) and/or \(t= 1\).
Agarwal, R.P., O'Regan, D.
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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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Regularity of the minimiser of one-dimensional interaction energies
, 2019 We consider both the minimisation of a class of nonlocal interaction energies over non-negative measures with unit mass and a class of singular integral equations of the first kind of Fredholm type. Our setting covers applications to dislocation pile-ups,
Kimura, M., van Meurs, P.
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Targeted modulation of IGFL2‐AS1 reveals its translational potential in cervical adenocarcinoma
Molecular Oncology, EarlyView.Cervical adenocarcinoma patients face worse outcomes than squamous cell carcinoma counterparts despite similar treatment. The identification of IGFL2‐AS1's differential expression provides a molecular basis for distinguishing these histotypes, paving the way for personalized therapies and improved survival in vulnerable populations globally.
Ricardo Cesar Cintra +6 more
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Positive decreasing solutions of systems of second order singular differential equations
Journal of Inequalities and Applications, 2000 Singular differential systems of the type are considered in an interval , where , , , are positive constants and , , , are positive continuous functions on .
Kusano Takaŝi, Tanigawa Tomoyuki
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A novel method for nonlinear singular oscillators
Journal of Low Frequency Noise, Vibration and Active Control, 2021 The present work deals with a study of a nonlinear singular oscillator. To approximate the frequency–amplitude relationship of the singular oscillator, reproducing kernel method is employed. The approximate solution is compared with the exact solution as
Ali Akgül +3 more
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