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20102026
most citedOn the fractional Schrödinger-Kirchhoff equations with electromagnetic fields and critical nonlinearity

48 citations

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17 papers · 1 filter

math.AP2026★ 1 cited

Concentration Phenomena of Normalized Solutions of Critical Biharmonic Equations with Combined Nonlinearities in

Yueqiang Song, Jiaying Ma, Dušan D. Repovš

We prove the multiplicity and concentration of normalized solutions of critical biharmonic equations with combined nonlinearities in \begin{equation*} Δ^{2}u+V(\va…

math.AP2025★ 3 cited

Concentrating solutions of the fractional -Choquard equation with exponential growth

Yueqiang Song, Xueqi Sun, Dušan D. Repovš

This article deals with the following fractional -Choquard equation with exponential growth of the form: $$\varepsilon^{ps}(-Δ)_{p}^{s}u+\varepsilon^{qs}(-Δ)_q^su+ Z(x)(|u|^…

math.AP2025

Global stability for compressible isentropic Navier-Stokes equations in 3D bounded domains with Navier-slip boundary conditions

Yang Liu, Guochun Wu, Xin Zhong

We investigate the global stability of large solutions to the compressible isentropic Navier-Stokes equations in a three-dimensional (3D) bounded domain with Navier-slip boundary c…

math.AP2024★ 2 cited

Existence and multiplicity of solutions for critical Kirchhoff-Choquard equations involving the fractional -Laplacian on the Heisenberg group

S. Bai, Y. Song, D. D. Repovš

In this paper, we study existence and multiplicity of solutions for the following Kirchhoff-Choquard type equation involving the fractional -Laplacian on the Heisenberg group: \…

math.AP2024★ 7 cited

On the -fractional Schrödinger-Kirchhoff equations with electromagnetic fields and the Hardy-Littlewood-Sobolev nonlinearity

Min Zhao, Yueqiang Song, Dušan D. Repovš

In this article, we deal with the following -fractional Schrödinger-Kirchhoff equations with electromagnetic fields and the Hardy-Littlewood-Sobolev nonlinearity: $$ M\left([u]_…

math.AP2023★ 2 cited

High and low perturbations of the critical Choquard equation on the Heisenberg group

Shujie Bai, Yueqiang Song, Dušan D. Repovš

We study the following critical Choquard equation on the Heisenberg group: \begin{equation*} \begin{cases} \displaystyle {-Δ_H u }=μ |u|^{q-2}u+\int_Ω \frac{|u(η)|^{Q_λ^{\ast}}} {|…