Bobo Hua

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math.AP2025

Isocapacitary constants associated with $p$ -Laplacian on graphs

Bobo Hua, Lili Wang

In this paper, we introduce isocapacitary constants for the $p$ -Laplacian on graphs and apply them to derive estimates for the first eigenvalues of the Dirichlet $p$ -Laplacian, the…

math.AP2025

Continuum limit of fourth-order SchrÃ¶dinger equations on the lattice

Jiawei Cheng, Bobo Hua

In this paper, we consider the discrete fourth-order SchrÃ¶dinger equation on the lattice $h Z^{2}$ . Uniform Strichartz estimates are established by analyzing frequency local…

math.AP2024

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 $Z^{d}$ for $d = 2, 3,$ which was extended to $d = 4$ in \cite{BCH23}. By Newton polyhedra…

Isocapacitary constants associated with p-Laplacian on graphs

Continuum limit of fourth-order SchrÃ¶dinger equations on the lattice

Sharp dispersive estimates for the wave equation on the 5-dimensional lattice graph

Isocapacitary constants associated with $p$ -Laplacian on graphs