10 citations · 32 across the 23 of their papers we have counts for
8 papers · 1 filter
Discrete Schwarz rearrangement in lattice graphs
Hichem Hajaiej, Fengwen Han, Bobo Hua
In this paper, we prove a discrete version of the generalized Riesz inequality on . As a consequence, we will derive the extended Hardy-Littlewood and Pólya-Szegö ine…
Extremal functions for the second-order Sobolev inequality on groups of polynomial growth
Bobo Hua, Ruowei Li, Florentin Münch
In this paper, we prove the second-order Sobolev inequalities on Cayley graphs of groups of polynomial growth. We use the discrete Concentration-Compactness principle to prove the…
A class of semilinear elliptic equations on lattice graphs
B. Hua, R. Li, L. Wang
In this paper, we study the semilinear elliptic equation of the form \begin{eqnarray*} -Δu+a(x)|u|^{p-2}u-b(x)|u|^{q-2}u=0 \end{eqnarray*} on lattice graphs , where…
Existence of ground state solutions to some Nonlinear Schrödinger equations on lattice graphs
Bobo Hua, Wendi Xu
In this paper, we study the nonlinear Schrödinger equation on the lattice graph . Using the Nehari method, we prove that when satisfies som…
The existence of extremal functions for discrete Sobolev inequalities on lattice graphs
Bobo Hua, Ruowei Li
In this paper, we study the existence of extremal functions of the discrete Sobolev inequality and Hardy-Littlewood-Sobolev inequality on lattice graphs. We introduce the discrete…
Harmonic functions of polynomial growth on infinite penny graphs
Zunwu He, Bobo Hua
For an infinite penny graph, we study the finite-dimensional property for the space of harmonic functions, or ancient solutions of the heat equation, of polynomial growth. We prove…