Steady-state solutions for Schrodinger equations in photonic lattice
Electronic Journal of Differential Equations, 2018 In this article, we study a nonlinear Schrodinger equation arising in optics. Firstly we prove the existence of multiple solutions of this equation. Secondly, we consider a nonlinear Schrodinger system which is intimately related to the Schrodinger ...
Wen-Long Li
doaj
Advances in Nonlinear AnalysisIn this article, we consider the multiplicity of positive solutions for a static Schrödinger-Poisson-Slater equation of the type −Δu+u2∗1∣4πx∣u=μf(x)∣u∣p−2u+g(x)∣u∣4uinR3,-\Delta u+\left({u}^{2}\ast \frac{1}{| 4\pi x| }\right)u=\mu f\left(x){| u| }^{p-2 ...
Zheng Tian-Tian +2 more
doaj +1 more source
How does framing influence preference for multiple solutions to societal problems? [PDF]
PLoS One, 2023 Wu JS, Kremen C, Zhao J.
europepmc +1 more source
Representation of the Gauss hypergeometric function by multiple polylogarithms and relations of multiple zeta values [PDF]
arXiv, 2004 We describe a solution of the Gauss hypergeometric equation, $F(\alpha,\beta,\gamma;z)$ by power series in paramaters $\alpha,\beta,\gamma$ whose coefficients are $\Z$ linear combinations of multiple polylogarithms. And using the representation and connection reletions of solutions of the hypergeometric equation, we show some relations of multiple zeta
arxiv
A stepwise emergence of evolution in the RNA world
FEBS Letters, EarlyView.How did biological evolution emerge from chemical reactions? This perspective proposes a gradual scenario of self‐organization among RNA molecules, where catalytic feedback on random mixtures plays the central role. Short oligomers cross‐ligate, and self‐assembly enables heritable variations. An event of template‐externalization marks the transition to
Philippe Nghe
wiley +1 more source
Multiple solutions for a class of degenerate nonlocal problems involving sublinear nonlinearities
Le Matematiche, 2014 In this article, we use the three critical points theorem by G. Bonanno [3] in order to investigate the multiplicity of solutions for some nonlocal degenerate problems.
Nguyen Thanh Chung, Hoang Quoc Toan
doaj
Brucella NyxA and NyxB dimerization enhances effector function during infection
FEBS Letters, EarlyView.Brucella abortus thrives inside cells thanks to the translocation of effector proteins that fine‐tune cellular functions. NyxA and NyxB are two effectors that destabilize the nucleolar localization of their host target, SENP3. We show that the Nyx proteins directly interact with each other and that their dimerization is essential for their function ...
Lison Cancade‐Veyre +4 more
wiley +1 more source
Multiple solutions at the genomic level in response to selective breeding for high locomotor activity. [PDF]
Genetics, 2023 Hillis DA, Garland T.
europepmc +1 more source
Critères multiples en programmation mathématique : une solution dans le cas linéaire [PDF]
, 1969 Robert Benayoun, J. Tergny
openalex +1 more source
Solution multiplicity of circular plate [PDF]
PAMM, 2008 AbstractWe deal with the number of solutions for the system of von Kármán equations for a thin elastic circular plate of constant thickness. The plate is subjected to a uniform compressive thrust along its edge in the midplane of the plate. The thrust is proportional to a real parameter λ. We assume rotationally symmetric case.
openaire +2 more sources