Zobrazeno 1 - 10
of 164
pro vyhledávání: '"Zuo, Jiabin"'
This paper is concerned with a nonlinear fractional Sch\"ordinger system in $\mathbb{{R}}$ with intraspecies interactions $a_{i}>0 \ (i=1,2)$ and interspecies interactions $\beta \in\mathbb{{R}}$. We study this system by solving an associated constra
Externí odkaz:
http://arxiv.org/abs/2411.06031
This paper is concerned with the ground states of a coupled pseudo-relativistic Hartree system in $\mathbb{R} ^{3} $ with trapping potentials, where the intraspecies and the interspecies interaction are both attractive. By investigating an associated
Externí odkaz:
http://arxiv.org/abs/2407.15495
We consider a Kirchhoff-type diffusion problem driven by the magnetic fractional Laplace operator. The main result in this paper establishes that infinite time blow-up cannot occur for the problem. The proof is based on the potential well method, in
Externí odkaz:
http://arxiv.org/abs/2310.06325
Publikováno v:
Fract. Calc. Appl. Anal. 25:6 (2022), 2532-2553
We prove the existence of solutions for the following critical Choquard type problem with a variable-order fractional Laplacian and a variable singular exponent \begin{align*} \begin{split} a(-\Delta)^{s(\cdot)}u+b(-\Delta)u&=\lambda |u|^{-\gamma(x)-
Externí odkaz:
http://arxiv.org/abs/2212.09261
Autor:
Zuo, Jiabin, Rădulescu, Vicenţiu D.
In this paper, we investigate the following fractional Sobolev critical nonlinear Schr\"{o}dinger (NLS) coupled systems: \begin{equation*} \left\{\begin{array}{lll} (-\Delta)^{s} u=\mu_{1} u+|u|^{2^{*}_{s}-2}u+\eta_{1}|u|^{p-2}u+\gamma\alpha|u|^{\alp
Externí odkaz:
http://arxiv.org/abs/2206.13051
Publikováno v:
Algebra i Analiz 35:5 (2023), 85-98
This paper is concerned with existence of normalized ground state solutions for the mass supercritical fractional nonlinear Schr\"{o}dinger equation involving a critical growth in the fractional Sobolev sense. The compactness of Palais-Smale sequence
Externí odkaz:
http://arxiv.org/abs/2206.12583
Publikováno v:
J. Math. Anal. Appl. 514:1 (2022), art. 126264, 18 pp
We establish a continuous embedding $W^{s(\cdot),2}(\Omega)\hookrightarrow L^{\alpha(\cdot)}(\Omega)$, where the variable exponent $\alpha(x)$ can be close to the critical exponent $2_{s}^*(x)=\frac{2N}{N-2\bar{s}(x)}$, with $\bar{s}(x)=s(x,x)$ for a
Externí odkaz:
http://arxiv.org/abs/2204.10635
Publikováno v:
In Applied Mathematics Letters April 2024 150
Publikováno v:
In Bulletin des sciences mathématiques March 2024 191
Autor:
Zuo, Jiabin1 (AUTHOR) zuojiabin88@163.com, Hammouti, Omar2 (AUTHOR) omar.hammouti.83@gmail.com, Taarabti, Said3 (AUTHOR) s.taarabti@uiz.ac.ma
Publikováno v:
Axioms (2075-1680). Mar2024, Vol. 13 Issue 3, p163. 15p.