Results 51 to 60 of about 994,574 (330)
Existence of normalized solutions for the coupled elliptic system with quadratic nonlinearity
Advanced Nonlinear Studies, 2022 In the present paper, we study the existence of the normalized solutions for the following coupled elliptic system with quadratic nonlinearity −Δu−λ1u=μ1∣u∣u+βuvinRN,−Δv−λ2v=μ2∣v∣v+β2u2inRN,\left\{\begin{array}{ll}-\Delta u-{\lambda }_{1}u={\mu }_{1}| u|
Wang Jun, Wang Xuan, Wei Song
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A Hollerith Technique for the Solution of Normal Equations
Journal of the American Statistical Association, 1953 IN THlE critical study of the results of large-scale sample surveys it is frequently necessary to consider data classified in several different ways, and to attempt to disentangle the effects of the various classifications which will usually not be orthogonal to one another.
Healy, M. J. R., Dyke, G. V.
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Normalized solutions of nonlinear Schrödinger equations [PDF]
Archiv der Mathematik, 2012 We consider the problem -Δu - g(u) = λu, u \in H^1(\R^N), \int_{\R^N} u^2 = 1, λ\in\R, in dimension $N\ge2$. Here $g$ is a superlinear, subcritical, possibly nonhomogeneous, odd nonlinearity. We deal with the case where the associated functional is not bounded below on the $L^2$-unit sphere, and we show the existence of infinitely many solutions.
Bartsch, Thomas +1 more
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A Time-Dependent Born-Oppenheimer Approximation with Exponentially Small Error Estimates
, 2000 We present the construction of an exponentially accurate time-dependent Born-Oppenheimer approximation for molecular quantum mechanics. We study molecular systems whose electron masses are held fixed and whose nuclear masses are proportional to $\epsilon^
Hagedorn, George A., Joye, Alain
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Development of visible light‐sensitive human neuropsin (OPN5) via single amino acid substitution
FEBS Letters, EarlyView.The present study determines a key amino acid residue, Lys91, for defining UV sensitivity of human OPN5. Heterologous action spectroscopy of the wild type and K91 mutants of OPN5 in HEK293T cells reveals that substitution of Lys91 with neutral (alanine) or acidic amino acids (glutamic or aspartic acids) causes substantial shifts in spectral sensitivity
Yusuke Sakai +2 more
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Advanced Nonlinear StudiesIn this paper we study the following nonlinear fractional Hartree (or Choquard-Pekar) equation (−Δ)su+μu=(Iα*F(u))F′(u) inRN, ${\left(-{\Delta}\right)}^{s}u+\mu u=\left({I}_{\alpha }{\ast}F\left(u\right)\right){F}^{\prime }\left(u\right)\quad \text{in} {\
Cingolani Silvia +2 more
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Solvable few-body quantum problems
, 2014 This work is devoted to the study of some exactly solvable quantum problems of four, five and six bodies moving on the line. We solve completely the corresponding stationary Schr\"odinger equation for these systems confined in an harmonic trap, and ...
Bachkhaznadji, A., Lassaut, M.
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FEBS Letters, EarlyView.C‐mannosylation is a unique form of protein glycosylation. In this study, we demonstrated that ADAMTS1 is C‐mannosylated at Trp562 and Trp565 in human testicular germ cell tumor NEC8 cells. We found that C‐mannosylation of ADAMTS1 is essential for its secretion, processing, enzymatic activity, and ability to promote vasculogenic mimicry. These findings
Takato Kobayashi +5 more
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CASE OF TRANSFUSION OF THE NORMAL SALINE SOLUTION. [PDF]
The Lancet, 1889 n ...
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One Parameter Scaling Theory for Stationary States of Disordered Nonlinear Systems
, 2010 We show, using detailed numerical analysis and theoretical arguments, that the normalized participation number of the stationary solutions of disordered nonlinear lattices obeys a one-parameter scaling law. Our approach opens a new way to investigate the
Bodyfelt, Joshua D. +2 more
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