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20052026
most citedSchrodinger-Poisson system with steep potential well

150 citations

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7 papers · 1 filter

math.AP2019

Blowup solutions of Grushin's operator

Guangying Lv, Jinlong Wei, Longjie Xie

In this note, we consider the blowup phenomenon of Grushin's operator. By using the knowledge of probability, we first get expression of heat kernel of Grushin's operator. Then by…

math.AP2017★ 1 cited

Strong solutions of stochastic differential equations with square integrable drift

Rongrong Tian, Liang Ding, Jinlong Wei

We prove the existence and uniqueness of strong solutions for stochastic differential equations in which the drift coefficient is square integrable in time variable and Hölder cont…

math.AP2017

Kinetic solutions for nonlocal scalar conservation laws

Jinlong Wei, Jinqiao Duan, Guangying Lv

This work is devoted to examine the uniqueness and existence of kinetic solutions for a class of scalar conservation laws involving a nonlocal super-critical diffusion operator. Ou…

math.AP2015★ 39 cited

Standing waves for a gauged nonlinear Schrödinger equation with a vortex point

Yongsheng Jiang, Alessio Pomponio, David Ruiz

This paper is motivated by a gauged Schrödinger equation in dimension 2. We are concerned with radial stationary states under the presence of a vortex at the origin. Those states s…

math.AP2014

Notes on Multiple Periodic Solutions for Second-order Discrete Hamiltonian System

Liang Ding, Jinlong Wei

By a new orthogonal direct sum decomposition , which is related to , and a new functional , the method in [2] is improved to obt…

math.AP2012★ 31 cited

Multiple solutions for a nonhomogeneous Schrödinger-Maxwell system in

Yongsheng Jiang, Zhengping Wang, Huan-Song Zhou

The paper considers the following nonhomogeneous Schrödinger-Maxwell system -Δu + u+λϕ(x) u =|u|^{p-1}u+g(x),\ x\in \mathbb{R}^3, -Δϕ= u^2, \ x\in \mathbb{R}^3, . \leqno{(SM)} wher…

math.AP2009★ 150 cited

Schrodinger-Poisson system with steep potential well

Yongsheng Jiang, Huan-Song Zhou

We study the following Schrödinger-Poisson system (P_λ)\{ll} -Δu + (1+μg(x))u+λϕ(x) u =|u|^{p-1}u, x\in \mathbb{R}^3,