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Normalized multi-bump solutions of nonlinear Kirchhoff equations
AIMS MathematicsWe 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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Normalized multi-bump solutions for saturable Schrödinger equations
Advances in Nonlinear Analysis, 2019 In this paper, we are concerned with the existence of multi-bump solutions for a class of semiclassical saturable Schrödinger equations with an density function:
Wang Xiaoming, Wang Zhi-Qiang
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A note on critical points of integrals of soliton equations
, 2010 We consider the problem of extending the integrals of motion of soliton equations to the space of all finite-gap solutions. We consider the critical points of these integrals on the moduli space of Riemann surfaces with marked points and jets of local ...
Krichever, Igor, Zakharov, Dmitry
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Multiple Normalized Solutions to a Choquard Equation Involving Fractional p-Laplacian in RN
Fractal and FractionalIn this paper, we study the existence of multiple normalized solutions for a Choquard equation involving fractional p-Laplacian in RN. With the help of variational methods, minimization techniques, and the Lusternik–Schnirelmann category, the existence ...
Xin Zhang, Sihua Liang
semanticscholar +1 more source
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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FEBS Letters, EarlyView.Glutaredoxin (Grx) 3 proteins contain a thioredoxin domain and one to three class II Grx domains. These proteins play a crucial role in iron homeostasis in eukaryotic cells. In human Grx3, at least one of the two Grx domains, together with the thioredoxin domain, is essential for its function in iron metabolism.
Laura Magdalena Jordt +4 more
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Univalence of normalized solutions of W″(z)+p(z)W(z)=0
International Journal of Mathematics and Mathematical Sciences, 1982 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
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N-order bright and dark rogue waves in a Resonant erbium-doped Fibre system
, 2012 The rogue waves in a resonant erbium-doped fibre system governed by a coupled system of the nonlinear Schr\"odinger equation and the Maxwell-Bloch equation (NLS-MB equations) are given explicitly by a Taylor series expansion about the breather solutions ...
He, Jingsong, Porseizan, K., Xu, Shuwei
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CASE OF TRANSFUSION OF THE NORMAL SALINE SOLUTION. [PDF]
The Lancet, 1889 n ...
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Disruption of SETD3‐mediated histidine‐73 methylation by the BWCFF‐associated β‐actin G74S mutation
FEBS Letters, EarlyView.The β‐actin G74S mutation causes altered interaction of actin with SETD3, reducing histidine‐73 methylation efficiency and forming two distinct actin variants. The variable ratio of these variants across cell types and developmental stages contributes to tissue‐specific phenotypical changes. This imbalance may impair actin dynamics and mechanosensitive
Anja Marquardt +8 more
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