Results 81 to 90 of about 1,005 (120)

Visualizing Fluid Flows via Regularized Optimal Mass Transport with Applications to Neuroscience. [PDF]

J Sci Comput, 2023
Chen X, Tran AP, Elkin R, Benveniste H, Tannenbaum AR.   +4 more
europepmc   +1 more source

Multiple Solutions for Superlinear Fractional Problems via Theorems of Mixed Type

Advanced Nonlinear Studies, 2018
In this paper, we investigate the existence of multiple solutions for the following two fractional problems:
Ambrosio Vincenzo
doaj   +1 more source

New multiplicity results in prescribing Q-curvature on standard spheres

Advanced Nonlinear Studies
In this paper, we study the problem of prescribing Q-Curvature on higher dimensional standard spheres. The problem consists in finding the right assumptions on a function K so that it is the Q-Curvature of a metric conformal to the standard one on the ...
Ben Ayed Mohamed, El Mehdi Khalil
doaj   +1 more source

Existence and multiplicity of solutions for fractional p-Laplacian equation involving critical concave-convex nonlinearities

Advanced Nonlinear Studies
We investigate the following fractional p-Laplacian convex-concave problem:(Pλ)(−Δ)psu=λ|u|q−2u+|u|ps*−2u inΩ,u=0 inRn\Ω,  $$\left({P}_{\lambda }\right) \begin{cases}\begin{aligned}\hfill {\left(-{\Delta}\right)}_{p}^{s}u& =\lambda \vert u{\vert
Ye Dong, Zhang Weimin
doaj   +1 more source

Enforcing Dirichlet boundary conditions in physics-informed neural networks and variational physics-informed neural networks. [PDF]

Heliyon, 2023
Berrone S, Canuto C, Pintore M, Sukumar N.   +3 more
europepmc   +1 more source

Existence and concentration of solutions for a fractional Schrödinger–Poisson system with discontinuous nonlinearity

Advanced Nonlinear Studies
In this paper, we study the following fractional Schrödinger–Poisson system with discontinuous nonlinearity:ε2s(−Δ)su+V(x)u+ϕu=H(u−β)f(u),inR3,ε2s(−Δ)sϕ=u2,inR3,u>0,inR3, $$\begin{cases}^{2s}{\left(-{\Delta}\right)}^{s}u+V\left(x\right)u+\phi u=H\left(u-\
Mu Changyang, Yang Zhipeng, Zhang Wei
doaj   +1 more source

Poly(dA:dT) Tracts Differentially Modulate Nucleosome Remodeling Activity of RSC and ISW1a Complexes, Exerting Tract Orientation-Dependent and -Independent Effects. [PDF]

Int J Mol Sci, 2023
Amigo R, Raiqueo F, Tarifeño E, Farkas C, Gutiérrez JL.   +4 more
europepmc   +1 more source

A Simplified Convex Optimization Model for Image Restoration with Multiplicative Noise. [PDF]

J Imaging, 2023
Che H, Tang Y.
europepmc   +1 more source

Normalized ground-states for the Sobolev critical Kirchhoff equation with at least mass critical growth

Open Mathematics
In this article, we investigate the following nonlinear Kirchhoff equation with Sobolev critical growth: −a+b∫R3∣∇u∣2dxΔu+λu=μf(u)+∣u∣4u,inR3,u>0,∫R3∣u∣2dx=m2,inR3,(Pm)\left\{\begin{array}{l}-\left(a+b\mathop{\displaystyle \int }\limits_{{{\mathbb{R ...
Zhang Shiyong, Zhang Qiongfen
doaj   +1 more source

Standing-wave solutions to a system of non-linear Klein–Gordon equations with a small energy/charge ratio

Advances in Nonlinear Analysis, 2014
We prove the existence of standing-wave solutions to a system of non-linear Klein–Gordon equations on ℝN with N ≥ 3. Our solutions are characterised by a small energy/charge ratio, appropriately defined.
Garrisi Daniele
doaj   +1 more source