Results 61 to 70 of about 3,496 (115)

Multi-Bump Standing Waves for Nonlinear Schrödinger Equations with a General Nonlinearity: The Topological Effect of Potential Wells

Advanced Nonlinear Studies, 2021
In this article, we are interested in multi-bump solutions of the singularly perturbed ...
Jin Sangdon
doaj   +1 more source

Cubic Derivative Nonlinear Schrodinger has Blowup Solutions [PDF]

arXiv, 2007
This paper is painfully withdrawn.
arxiv  

Asymptotic Stability of Nonlinear Schrödinger Equations with Potential [PDF]

, 2004
We prove asymptotic stability of trapped solitons in the generalized nonlinear Schr\"odinger equation with a potential in dimension 1 and for even potential and even initial conditions.
arxiv   +1 more source

Perturbation results for some nonlinear equations involving fractional operators [PDF]

arXiv, 2012
By using a perturbation technique in critical point theory, we prove the existence of solutions for two types of nonlinear equations involving fractional differential operators.
arxiv  

On defocusing coupled nonlinear Schrodinger equations [PDF]

arXiv, 2015
The initial value problem for some defocusing coupled nonlinear Schrodinger equations is investigated. Global well-posedness and scattering are established.
arxiv  

Concentration of blow-up solutions for the Gross-Pitaveskii equation

Advances in Nonlinear Analysis
We consider the blow-up solutions for the Gross-Pitaveskii equation modeling the attractive Boes-Einstein condensate. First, a new variational characteristic is established by computing the best constant of a generalized Gagliardo-Nirenberg inequality ...
Zhu Shihui
doaj   +1 more source

Concave-convex nonlinearities for some nonlinear fractional equations involving the Bessel operator [PDF]

arXiv, 2016
We prove some existence results for a class of nonlinear fractional equations driven by a nonlocal operator.
arxiv  

Scattering threshold for the focusing energy-critical generalized Hartree equation

Open Mathematics
This work investigates the asymptotic behavior of energy solutions to the focusing nonlinear Schrödinger equation of Choquard type i∂tu+Δu+∣u∣p−2(Iα*∣u∣p)u=0,p=1+2+αN−2,N≥3.i{\partial }_{t}u+\Delta u+{| u| }^{p-2}\left({I}_{\alpha }* {| u| }^{p})u=0 ...
Almuthaybiri Saleh, Peng Congming, Saanouni Tarek   +2 more
doaj   +1 more source

Stable manifolds for all monic supercritical NLS in one dimension [PDF]

arXiv, 2005
We show that all supercritical monic focusing NLS in one space dimension exhibit asymptotic stability of perturbed standing waves provided the perturbations are chosen on a small hypersuface in a suitable space.
arxiv  

Limit profiles and the existence of bound-states in exterior domains for fractional Choquard equations with critical exponent

Advances in Nonlinear Analysis
This article is devoted to studying the existence of positive solutions to the following fractional Choquard equation: (−Δ)su+u=∫Ω∣u(y)∣p∣x−y∣N−αdy∣u∣p−2u+ε∫Ω∣u(y)∣2α,s*∣x−y∣N−αdy∣u∣2α,s*−2u,inΩ,u=0,onRN\Ω,\left\{\begin{array}{ll}{\left(-\Delta )}^{s}u+u=
Ye Fumei, Yu Shubin, Tang Chun-Lei
doaj   +1 more source