3 papers
math.AP2026
On positive solutions of Lane-Emden equations on the integer lattice graphs
Huyuan Chen, Bobo Hua, Feng Zhou
In this paper, we investigate the existence and nonexistence of positive solutions to the Lane-Emden equations on the -dimensional integer lattice grap…
math.AP2026
Maximal hypersurfaces with prescribed light-like cones in Lorentz-Minkowski space
Huyuan Chen, Ying Wang, Feng Zhou
The purpose in this paper is to study the maximal hypersurfaces with multiple light-cones in Lorentz-Minkowski space by considering the weak solutions to the mean curvature equatio…
math.AP2025
On positive solutions of critical semilinear equations involving the Logarithmic Laplacian
Huyuan Chen, Feng Zhou
In this paper, we classify the solutions of the critical semilinear problem involving the logarithmic Laplacian $$(E)\qquad \qquad\qquad\qquad\qquad \mathcal{L}_Îu= k u\log u,\qqu…