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

48 citations

Showing 2024Show all

5 papers · 1 filter

cond-mat.mes-hall2024★ 1 cited

Anomalous length dependent conductance of quasi-one-dimensional molecular wires assembled from metal superatoms

Famin Yu, Rui-Qin Zhang, Zhigang Wang

Molecular wires with high electrical conductance are desirable components for future molecular-scale circuitry. However, their conductance typically decays exponentially with incre…

cond-mat.soft2024★ 3 cited

Phase behaviors and dynamics of active particle systems in double-well potential

Lu Chen, Baopi Liu, Ning Liu

In this study, we investigate the behaviors and dynamics of self-propelled particles with active reorientation (AR) in a double-well potential. We explore the competition between A…

cond-mat.soft2024★ 3 cited

Effective and efficient modeling of the hydrodynamics for bacterial flagella

Baopi Liu, Lu Chen, Ji Zhang

The hydrodynamic interactions among bacterial cell bodies, flagella, and surrounding boundaries are essential for understanding bacterial motility in complex environments. In this…

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]_…