Results 51 to 60 of about 3,553 (102)

Matter-wave diffraction in time with a linear potential

, 2006
Diffraction in time of matter waves incident on a shutter which is removed at time $t=0$ is studied in the presence of a linear potential. The solution is also discussed in phase space in terms of the Wigner function.
A del Campo, Abramowitz A, Batchelor M T, Brouard S, Cazalilla M A, Clairon A Laurent P Nadir A Drewsen M Grison D Lounis B Salomon C, del Campo A, del Campo A Muga J G, Faddeyeva V N, Folman R, Gerasimov A S, Grosche C, J G Muga, Kramer T, Kramer T, Metcalf H J, Meyrath T P, Perelomov A M, Raizen M G   +18 more
core   +1 more source

Existence and multiplicity of solutions for a Dirichlet problem involving perturbed p(x)-Laplacian operator

Electronic Journal of Differential Equations, 2016
In this article we study the existence of solutions for the Dirichlet problem $$\displaylines{ -\text{div}(| \nabla u |^{p(x)-2}\nabla u)+V(x)|u|^{q(x)-2}u =f(x,u)\quad \text{in }\Omega,\cr u=0\quad \text{on }\partial \Omega, }$$ where $\Omega$ is
Aboubacar Abdou, Aboubacar Marcos
doaj  

Coordinated Beamforming with Relaxed Zero Forcing: The Sequential Orthogonal Projection Combining Method and Rate Control

, 2012
In this paper, coordinated beamforming based on relaxed zero forcing (RZF) for K transmitter-receiver pair multiple-input single-output (MISO) and multiple-input multiple-output (MIMO) interference channels is considered.
Lee, Gilwon, Park, Juho, Sung, Youngchul, Yukawa, Masahiro   +3 more
core   +1 more source

Soliton solutions for a quasilinear Schrodinger equation

Electronic Journal of Differential Equations, 2013
In this article, critical point theory is used to show the existence of nontrivial weak solutions to the quasilinear Schrodinger equation $$ -\Delta_p u-\frac{p}{2^{p-1}}u\Delta_p(u^2)=f(x,u) $$ in a bounded smooth domain $\Omega\subset\mathbb{R}^{N}
Duchao Liu
doaj  

Multiple Solutions to the Fractional p-Laplacian Equations of Schrödinger–Hardy-Type Involving Concave–Convex Nonlinearities

Fractal and Fractional
This paper is concerned with nonlocal fractional p-Laplacian Schrödinger–Hardy-type equations involving concave–convex nonlinearities. The first aim is to demonstrate the L∞-bound for any possible weak solution to our problem.
Yun-Ho Kim
doaj   +1 more source

Multiplicity of solutions to a p-Kirchhoff equation with critical exponent

Boundary Value Problems
In this paper, we consider the following p-Kirchhoff equation: P { [ M ( ∥ u ∥ p ) ] p − 1 ( − Δ p u + | u | p − 2 u ) = λ f ( x , u ) + | u | p ∗ − 2 u in Ω , u = 0 , on ∂ Ω , $$ \left \{ \textstyle\begin{array}{l@{\quad}l} [M(\|u\|^{p})]^{p-1}\left ...
Zhaomin Jiang
doaj   +1 more source

Multiplicity Result of Solutions to the Fractional Problems with (p,q)-Growth and Hardy Potentials

Axioms
This paper focuses on establishing the existence of infinitely many solutions for non-local fractional equations characterized by unbalanced growth and Hardy potentials.
Yun-Ho Kim
doaj   +1 more source

Infinitely many weak solutions for a p-Laplacian equation with nonlinear boundary conditions

Electronic Journal of Differential Equations, 2007
We study the following quasilinear problem with nonlinear boundary conditions $$displaylines -Delta _{p}u+a(x)|u|^{p-2} u=f(x,u) quad mbox{in }Omega, cr | abla u|^{p-2} frac{partial u}{partial u}=g(x,u) quad mbox{on } partialOmega, }$$ where ...
Pei-Hao Zhao, Ji-Hong Zhao
doaj  

Existence and non-existence of solutions for a p(x)-biharmonic problem

Electronic Journal of Differential Equations, 2015
In this article, we study the following problem with Navier boundary conditions $$\displaylines{ \Delta (|\Delta u|^{p(x)-2}\Delta u)+|u|^{p(x)-2}u =\lambda |u|^{q(x)-2}u +\mu|u|^{\gamma(x)-2}u\quad \text{in } \Omega,\cr u=\Delta u=0 \quad \text{on
Ghasem A. Afrouzi, Maryam Mirzapour, Nguyen Thanh Chung   +2 more
doaj  

Coding for Large-Scale Distributed Machine Learning. [PDF]

Entropy (Basel), 2022
Xiao M, Skoglund M.
europepmc   +1 more source