Lidan Wang

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math.AP2025

Positive solutions to fractional $p$ -Laplacian Choquard equation on lattice graphs

Lidan Wang

In this paper, we study the fractional $p$ -Laplacian Choquard equation $(- Δ)_{p}^{s} u + h (x) ∣ u ∣^{p - 2} u = (R_{α} * F (u)) f (u)$ on lattice graphs $Z^{d}$ , where $s\in…

math.AP2025

Existence and convergence of ground state solutions for Choquard-type systems on lattice graphs

Lidan Wang

In this paper, we study the $p$ -Laplacian system with Choquard-type nonlinearity $$ \begin{cases}-Δ_{p} u+(λa+1)|u|^{p-2} u=\frac{1}γ \left(R_α\ast F(u,v)\right)F_{u}(u, v), \\ -Δ_…

math.AP2025

The eternal solutions of parabolic equations with boundary condition

Jingqi Liang, Lidan Wang

In this paper, we study the parabolic equations of the form $$ \left\{ \begin{array}{rcll} Lu(y,t) &=& f, \qquad &(y,t)\in Q,\\ u(y,t)&=& 0, \qquad &(y,t)\in \partial Q, \\ u(y,t)&…

math.AP2024

Fractional logarithmic Schrödinger equations on lattice graphs

Lidan Wang

In this paper, we study the fractional logarithmic Schrödinger equation $(- Δ)^{s} u + h (x) u = u lo g u^{2}$ on lattice graphs $Z^{d}$ , where $s \in (0, 1)$ . If $h (x)$ is a bo…

math.AP2024

p-Laplacian equations with general Choquard nonlinearity on lattice graphs

Lidan Wang

In this paper, we study the following $p$ -Laplacian equation $- Δ_{p} u + h (x) ∣ u ∣^{p - 2} u = (R_{α} * F (u)) f (u)$ on lattice graphs $Z^{N}$ , where $p \geq 2$ , $α\in(0,N)…

Positive solutions to fractional p-Laplacian Choquard equation on lattice graphs

Existence and convergence of ground state solutions for Choquard-type systems on lattice graphs

The eternal solutions of parabolic equations with boundary condition

Fractional logarithmic Schrödinger equations on lattice graphs

p-Laplacian equations with general Choquard nonlinearity on lattice graphs

Positive solutions to fractional $p$ -Laplacian Choquard equation on lattice graphs