7 papers
On Faber-Krahn inequality for Dirichlet Fractional-Logarithmic Laplacian
Huyuan Chen, Rui Chen, Bobo Hua
We study the Faber--Krahn problem for the fractional--logarithmic Laplacian , , with Fourier symbol . We prove a small-volume and large-volum…
Poisson problem with Hardy operator on lattice graph and the application to semilinear equations
Huyuan Chen, Bobo Hua, Wendi Xu
In this paper, we investigate the analytic properties of the Hardy-type operator on the -dimensional integer lattice graph , where and …
Nonlinear parabolic characterizations of stochastic completeness at infinity on weighted graphs
Davide Bianchi, Bobo Hua, Alberto G. Setti +1
We prove a nonlinear parabolic characterization of stochastic completeness at infinity for weighted graphs. For the filtration equation \[ (\partial_t + ΔΦ)u =0 \] where is the…
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 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 graph…
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 where…
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 aris…