Results 81 to 90 of about 221,589 (315)

INFINITELY MANY SOLUTIONS FOR A CLASS OF SUBLINEAR SCHRÖDINGER EQUATIONS

open access: yesTaiwanese Journal of Mathematics, 2015
In this paper, we deal with the existence of infinitely many solutions for a class of sublinear Schrodinger equation $$ \left\{ \begin{array}{ll} -\triangle u+V(x)u=f(x, u), \ \ \ \ x\in {\mathbb{R}}^{N},\\ u\in H^{1}({\mathbb{R}}^{N}). \end{array} \right. $$ Under the assumptions that $\inf_{{\mathbb{R}}^{N}}V(x) >0$ and $f(x,
Chen, Jing, Tang, X. H.
openaire   +2 more sources

Peptide Sequencing With Single Acid Resolution Using a Sub‐Nanometer Diameter Pore

open access: yesAdvanced Functional Materials, EarlyView.
To sequence a single molecule of Aβ1−42–sodium dodecyl sulfate (SDS), the aggregate is forced through a sub‐nanopore 0.4 nm in diameter spanning a 4.0 nm thick membrane. The figure is a visual molecular dynamics (VMD) snapshot depicting the translocation of Aβ1−42–SDS through the pore; only the peptide, the SDS, the Na+ (yellow/green) and Cl− (cyan ...
Apurba Paul   +8 more
wiley   +1 more source

Infinitely many solutions for a fourth-order boundary-value problem

open access: yesElectronic Journal of Differential Equations, 2012
In this article we consider the existence of infinitely many solutions to the fourth-order boundary-value problem $$displaylines{ u^{iv}+alpha u''+eta(x) u=lambda f(x,u)+h(u),quad xin]0,1[cr u(0)=u(1)=0,cr u''(0)=u''(1)=0,.
Seyyed Mohsen Khalkhali   +2 more
doaj  

Nanostructured Hydrogen‐Selective Palladium “Plug” Membranes Capable of Withstanding High Temperatures

open access: yesAdvanced Functional Materials, EarlyView.
A nanostructured palladium membrane is developed for high‐temperature hydrogen separation, comprising isolated, thermally‐stable palladium plugs embedded within nanopores of a porous support. The membrane withstands high temperatures (1000 K for 100 h) without structural failure, demonstrating exceptional robustness over conventional metal membranes ...
Lohyun Kim   +4 more
wiley   +1 more source

Infinitely many solutions for non-local problems with broken symmetry

open access: yesAdvances in Nonlinear Analysis, 2018
The aim of this paper is to investigate the existence of solutions of the non-local elliptic ...
Bartolo Rossella   +2 more
doaj   +1 more source

Infinitely many radial solutions of an elliptic system [PDF]

open access: yesAnnales de l'Institut Henri Poincaré C, Analyse non linéaire, 1987
We consider a system of equations of the form Δu + ∇F(u) = 0 . In this and two subsequent papers we find conditions on F(u) to guarantee that this system has infinitely many radial solutions.
openaire   +2 more sources

Exciton Binding Energy Modulation in 2D Perovskites: A Phenomenological Keldysh Framework

open access: yesAdvanced Functional Materials, EarlyView.
The intrinsic screening effects are successfully decoupled from structural distortion by rigorously designing a series of 2D perovskites. This enabled us to demonstrate how the dielectric environment modulates the quasiparticle bandgap and exciton binding energy.
Kitae Kim   +15 more
wiley   +1 more source

Infinitely many solutions for a class of Kirchhoff-type equations

open access: yesOpen Mathematics
In this article, we consider a class of Kirchhoff-type equations: −a+b∫Ω∣∇u∣2dxΔu=f(x,u),x∈Ω,u=0,x∈∂Ω.\left\{\begin{array}{ll}-\left(a+b\mathop{\displaystyle \int }\limits_{\Omega }{| \nabla u| }^{2}{\rm{d}}x\right)\Delta u=f\left(x,u),\hspace{1.0em}& x ...
Zhou Qin, Zeng Jing
doaj   +1 more source

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