4 papers · 1 filter
The generalized porous medium equation on graphs: well-posedness, extinction, and mass conservation
Davide Bianchi, Bobo Hua, Alberto G. Setti +1
We study the Cauchy problem for the generalized porous medium equation on infinite weighted graphs. For a general nonlinearity, we establish Dirichlet comparison and weak maximum p…
On finite-energy solutions of Kazan-Warner equations on the lattice graph
Huyuan Chen, Bobo hua
We investigate finite-energy solutions to Kazdan-Warner type equations in 2-dimensional integer lattice graph w…
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…
Existence and Convergence of Least-Energy Solutions Involving the Logarithmic Schrödinger Operator
Huyuan Chen, Rui Chen, Bobo Hua
In this paper, we study critical semilinear nonlocal elliptic equations involving the logarithmic Schrödinger operator and its fractional pseudo-relativistic counterpart, both ari…