Xuechen Zhang

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math.AP2025

Multiplicity and uniqueness of positive solutions for a superlinear-singular $(p, q)$ -Laplacian equation on locally finite graphs

Xuechen Zhang, Xingyong Zhang

We investigate the multiplicity and uniqueness of positive solutions for the superlinear singular $(p, q)$ -Laplacian equation \begin{eqnarray*} \begin{cases} -Î_p u-Î_q u+a(x)u^{p…

math.AP2024

Existence and convergence of ground state solutions for a $(p, q)$ -Laplacian system on weighted graphs

Xuechen Zhang, Xingyong Zhang

We investigate the existence of ground state solutions for a $(p, q)$ -Laplacian system with $p, q > 1$ and potential wells on a weighted locally finite graph $G = (V, E)$ . By making use o…

Multiplicity and uniqueness of positive solutions for a superlinear-singular (p,q)-Laplacian equation on locally finite graphs

Existence and convergence of ground state solutions for a (p,q)-Laplacian system on weighted graphs

Multiplicity and uniqueness of positive solutions for a superlinear-singular $(p, q)$ -Laplacian equation on locally finite graphs

Existence and convergence of ground state solutions for a $(p, q)$ -Laplacian system on weighted graphs