8 papers · 1 filter
Positive solutions to fractional -Laplacian Choquard equation on lattice graphs
Lidan Wang
In this paper, we study the fractional -Laplacian Choquard equation on lattice graphs , where $s\…
Existence and convergence of ground state solutions for Choquard-type systems on lattice graphs
Lidan Wang
In this paper, we study the -Laplacian system with Choquard-type nonlinearity $$ \begin{cases}-Î_{p} u+(λa+1)|u|^{p-2} u=\frac{1}γ \left(R_α\ast F(u,v)\right)F_{u}(u, v), \\…
The eternal solutions of parabolic equations with boundary condition
Jingqi Liang, Lidan Wang
In this paper, we study the parabolic equations of the form $$ \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)&…
Fractional logarithmic Schrödinger equations on lattice graphs
Lidan Wang
In this paper, we study the fractional logarithmic Schrödinger equation on lattice graphs , where . If is a…
p-Laplacian equations with general Choquard nonlinearity on lattice graphs
Lidan Wang
In this paper, we study the following -Laplacian equation on lattice graphs , where , $α\in(0…
Solutions to discrete nonlinear Kirchhoff-Choquard equations with power nonlinearity
Lidan Wang
In this paper, we study the following Kirchhoff-Choquard equation $$ -\left(a+b \int_{\mathbb{Z}^3}|\nabla u|^{2} d μ\right) Îu+h(x) u=\left(R_α\ast|u|^{p}\right)|u|^{p-2}u,\qua…