Lidan Wang

activity

20172023

most citedExponential stability of 3D stochastic primitive equations driven by fractional noise

3 citations · 7 across the 9 of their papers we have counts for

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Showing 2022Show all

3 papers · 1 filter

math.AP2022

The ground state solutions of nonlinear Schrödinger equations with Hardy weights on lattice graphs

Lidan Wang

In this paper, we study the nonlinear Schrödinger equation $- Δ u + (V (x) - \frac{ρ}{( ∣ x ∣ ^{2} + 1 )}) u = f (x, u)$ on the lattice graph $Z^{N}$ with $N \geq 3$ , where $V$ is a bounded pe…

math.PR2022

Dirichlet Heat kernel estimates for a large class of anisotropic Markov processes

Kyung-Youn Kim, Lidan Wang

Let $Z = (Z^{1}, \dots, Z^{d})$ be the d-dimensional Lévy {process} where { $Z^{i}$ 's} are independent 1-dimensional Lévy {processes} with identical jumping kernel $ ν^1(r) =r^{-1}ϕ(r)…

math.AP2022

The existence and convergence of solutions for the nonlinear Choquard equations on groups of polynomial growth

Ruowei Li, Lidan Wang

In this paper, we study the nonlinear Choquard equation \begin{eqnarray*} Δ^{2}u-Δu+(1+λa(x))u=(R_α\ast|u|^{p})|u|^{p-2}u \end{eqnarray*} on a Cayley graph of a discrete group of p…