Results 51 to 60 of about 7,704,118 (361)
In 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
doaj +1 more source
Normalized multi-bump solutions of nonlinear Kirchhoff equations
We are concerned with the existence and concentration of multi-bump solutions for the nonlinear Kirchhoff equation $ \begin{eqnarray*} -\left ( \varepsilon ^{2}a+\varepsilon b\displaystyle {\int}_{\mathbb{R}^{3} }\left | \nabla v \right | ^{2 ...
Zhidan Shu, Jianjun Zhang
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A Hollerith Technique for the Solution of Normal Equations
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.
openaire +2 more sources
α2 → 8 polysialic acid elicits poor immunogenicity. Small‐angle scattering shows a supramolecular structure with parallel‐chain binding, although in different forms at μm and mm calcium. The major histocompatibility complex requires molecular weights around 2000 Da to produce antibodies, and 2000 Da polysialic oligomers will bind in these structures ...
Kenneth A. Rubinson
wiley +1 more source
Univalence of normalized solutions of W″(z)+p(z)W(z)=0
Denote solutions of W″(z)+p(z)W(z)=0 by Wα(z)=zα[1+∑n=1∞anzn] and Wβ(z)=zβ[1+∑n=1∞bnzn], where ...
R. K. Brown
doaj +1 more source
Normalized solutions of nonlinear Schrödinger equations [PDF]
We consider the problem - u - g(u) = u, u \in H^1(\R^N), \int_{\R^N} u^2 = 1, \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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Venom peptides have shown promise in treating pain. Our study uses computer screening to identify a peptide that targets a sodium channel (NaV1.7) linked to chronic pain. We produced the peptide in the laboratory and refined its design, advancing the search for innovative pain therapies.
Gagan Sharma+8 more
wiley +1 more source
Normalization of the wavefunction obtained from perturbation theory based on a matrix method [PDF]
We present the derivation of the normalization constant for the perturbation matrix method recently proposed. The method is tested on the problem of a binary waveguide array for which an exact and an approximate solution are known. In our analysis, we show that to third order the normalized matrix method approximate solution gives results coinciding ...
arxiv +1 more source
CASE OF TRANSFUSION OF THE NORMAL SALINE SOLUTION. [PDF]
n ...
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Identification of novel small molecule inhibitors of ETS transcription factors
ETS transcription factors play an essential role in tumourigenesis and are indispensable for sprouting angiogenesis, a hallmark of cancer, which fuels tumour expansion and dissemination. Thus, targeting ETS transcription factor function could represent an effective, multifaceted strategy to block tumour growth. The evolutionarily conserved E‐Twenty‐Six
Shaima Abdalla+9 more
wiley +1 more source