48 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- University of LjubljanaSI11 papers
- Institute of Mathematics, Physics, and MechanicsSI9 papers
- Beijing Computational Science Research CenterCN5 papers
- Southwest UniversityCN5 papers
- Jilin UniversityCN4 papers
- Inner Mongolia University of Science and TechnologyCN3 papers
- Jiangsu University of TechnologyCN3 papers
- Northeast Normal UniversityCN3 papers
- Anqing Normal UniversityCN2 papers
- Guangzhou UniversityCN2 papers
- Nanjing UniversityCN2 papers
- AGH University of KrakowPL1 paper
5 papers · 1 filter
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}}} {|…
On -Laplacian Kirchhoff-Schrödinger-Poisson type systems with critical growth on the Heisenberg group
Shujie Bai, Yueqiang Song, Dušan D. Repovš
In this article, we investigate the Kirchhoff-Schrödinger-Poisson type systems on the Heisenberg group of the following form: \begin{equation*} \left\{ \begin{array}{lll} {-(a+b\in…
Convergence of Adam for Non-convex Objectives: Relaxed Hyperparameters and Non-ergodic Case
Meixuan He, Yuqing Liang, Jinlan Liu +1
Adam is a commonly used stochastic optimization algorithm in machine learning. However, its convergence is still not fully understood, especially in the non-convex setting. This pa…
UAdam: Unified Adam-Type Algorithmic Framework for Non-Convex Stochastic Optimization
Yiming Jiang, Jinlan Liu, Dongpo Xu +1
Adam-type algorithms have become a preferred choice for optimisation in the deep learning setting, however, despite success, their convergence is still not well understood. To this…
On the Schrödinger-Poisson system with -Laplacian
Yueqiang Song, Yuanyuan Huo, Dušan D. Repovš
We study a class of Schrödinger-Poisson systems with -Laplacian. Using fixed point theory, we obtain a new existence result for nontrivial solutions. The main novelty of the…