On the logarithmic fractional Schrödinger–Poisson system with saddle-like potential
In this paper, we use variational methods to prove the existence of a positive solution for the following class of logarithmic fractional Schrödinger–Poisson system: \begin{equation*} \begin{cases} \epsilon^{2s}\left(-\Delta\right)^{s} u+V(x)u-\phi(x)u= u \log {u^{2}}&\quad\text{ in }\mathbb...
Saved in:
Main Authors: | Huo Tao, Lin Li |
---|---|
Format: | Article |
Language: | English |
Published: |
University of Szeged
2024-07-01
|
Series: | Electronic Journal of Qualitative Theory of Differential Equations |
Subjects: | |
Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=10967 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
Multiplicity of normalized solutions to a class of nonlinear fractional Schrödinger–Poisson systems with Hardy potential
by: Xinsheng Du, et al.
Published: (2024-11-01) -
New results concerning a Schrödinger equation involving logarithmic nonlinearity
by: Yaqing Cai, et al.
Published: (2024-12-01) -
Multiple normalized solutions to the nonlinear Schrödinger–Poisson system with the $L^2$-subcritical growth
by: Siwei Wei, et al.
Published: (2024-10-01) -
Bifurcation analysis of fractional Kirchhoff–Schrödinger–Poisson systems in $\mathbb R^3$
by: Linlin Wang, et al.
Published: (2024-01-01) -
An analytical investigation of nonlinear time-fractional Schrödinger and coupled Schrödinger–KdV equations
by: Yogeshwari F. Patel, et al.
Published: (2025-03-01)