6 papers
Isocapacitary constants associated with -Laplacian on graphs
Bobo Hua, Lili Wang
In this paper, we introduce isocapacitary constants for the -Laplacian on graphs and apply them to derive estimates for the first eigenvalues of the Dirichlet -Laplacian, the…
Continuum limit of fourth-order Schrödinger equations on the lattice
Jiawei Cheng, Bobo Hua
In this paper, we consider the discrete fourth-order Schrödinger equation on the lattice . Uniform Strichartz estimates are established by analyzing frequency locali…
Sharp dispersive estimates for the wave equation on the 5-dimensional lattice graph
Cheng Bi, Jiawei Cheng, Bobo Hua
Schultz \cite{S98} proved dispersive estimates for the wave equation on lattice graphs for which was extended to in \cite{BCH23}. By Newton polyhedra…
On the complexity of Cayley graphs on a dihedral group
Bobo Hua, Alexander Mednykh, Ilya Mednykh +1
In this paper, we investigate the complexity of an infinite family of Cayley graphs $\mathcal{D}_{n}=Cay(\mathbb{D}_{n}, b^{\pmβ_1},b^{\pmβ_2},\ldots,b^{\pmβ_s}, a b^{γ_1}, a b^{γ_…
The Wave Equation on Lattices and Oscillatory Integrals
Cheng Bi, Jiawei Cheng, Bobo Hua
In this paper, we establish sharp dispersive estimates for the linear wave equation on the lattice with dimension . Combining the singularity theory with result…
The existence of ground state solutions for nonlinear p-Laplacian equations on lattice graphs
Bobo Hua, Wendi Xu
In this paper, we study the nonlinear -Laplacian equation with positive and periodic potential on the lattice graph , whe…