Results 41 to 50 of about 994,574 (330)
Normal solutions of linear programs [PDF]
, 1984 The author introduces the definition of normal solution to a linear program, which is an exact solution with some least norm property if the linear program is solvable, otherwise an approximate solution with some least norm property also. By considering normal solutions we are led to (i) iterative successive overrelaxation (SOR) methods capable of ...
openaire +3 more sources
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
core +1 more source
Aβ42 promotes the aggregation of α‐synuclein splice isoforms via heterogeneous nucleation
FEBS Letters, EarlyView.The aggregation of amyloid‐β (Aβ) and α‐synuclein (αSyn) is associated with Alzheimer's and Parkinson's diseases. This study reveals that Aβ aggregates serve as potent nucleation sites for the aggregation of αSyn and its splice isoforms, shedding light on the intricate interplay between these two pathogenic proteins.
Alexander Röntgen +2 more
wiley +1 more source
Electronic Journal of Qualitative Theory of Differential EquationsIn this paper, we study the existence of multiple normalized solutions to the following Schrödinger–Poisson system with general nonlinearities: \begin{equation*} \begin{cases} -\varepsilon^2\Delta u+V(x)u+\phi u=f(u)+\lambda u & \hbox{in $\mathbb{R}
Siwei Wei, Kaimin Teng
doaj +1 more source
On Normalized Ricci Flow and Smooth Structures on Four-Manifolds with $b^+=1$
, 2008 We find an obstruction to the existence of non-singular solutions to the normalized Ricci flow on four-manifolds with $b^+=1$. By using this obstruction, we study the relationship between the existence or non-existence of non-singular solutions of the ...
Ishida, Masashi +2 more
core +1 more source
FEBS Letters, EarlyView.Knowing how proteases recognise preferred substrates facilitates matching proteases to applications. The S1′ pocket of protease EA1 directs cleavage to the N‐terminal side of hydrophobic residues, particularly leucine. The S1′ pocket of thermolysin differs from EA's at only one position (leucine in place of phenylalanine), which decreases cleavage ...
Grant R. Broomfield +3 more
wiley +1 more source
Advances in Nonlinear AnalysisThe present study investigates the existence and non-degeneracy of normalized solutions for the following fractional Schrödinger equation: (−Δ)su+V(x)u=aup+μu,x∈RN,u∈Hs(RN){\left(-\Delta )}^{s}u+V\left(x)u=a{u}^{p}+\mu u,\hspace{1.0em}x\in {{\mathbb{R}}}^
Guo Qing, Zhang Yuhang
doaj +1 more source
, 2011 Exact bound state solutions and corresponding normalized eigenfunctions of the radial Schr\"odinger equation are studied for the pseudoharmonic and Mie-type potentials by using the Laplace transform approach.
Arda, Altug, Sever, Ramazan
core +1 more source
FEBS Letters, EarlyView.In this work, we reveal how different enzyme binding configurations influence the fluorescence decay of NAD(P)H in live cells using time‐resolved anisotropy imaging and fluorescence lifetime imaging microscopy (FLIM). Mathematical modelling shows that the redox states of the NAD and NADP pools govern these configurations, shaping their fluorescence ...
Thomas S. Blacker +8 more
wiley +1 more source
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
doaj +1 more source