1 citations · 2 across the 2 of their papers we have counts for
7 papers
Studies of normalized solutions to Schrödinger equations with Sobolev critical exponent and combined nonlinearities
Xinfu Li
We consider the Sobolev critical Schrödinger equation with combined nonlinearities \begin{equation*} \begin{cases} -Δu=λu+|u|^{2^*-2}u+μ|u|^{q-2}u,\ \ x\in\mathbb{R}^{N},\\ u\in H^…
Standing waves to upper critical Choquard equation with a local perturbation: multiplicity, qualitative properties and stability
Xinfu Li
In this paper, we consider the upper critical Choquard equation with a local perturbation \begin{equation*} \begin{cases} -Δu=λu+(I_α\ast|u|^{p})|u|^{p-2}u+μ|u|^{q-2}u,\ x\in \math…
Nonexistence, existence and symmetry of normalized ground states to Choquard equations with a local perturbation
Xinfu Li
We study the Choquard equation with a local perturbation \begin{equation*} -Δu=λu+(I_α\ast|u|^p)|u|^{p-2}u+μ|u|^{q-2}u,\ x\in \mathbb{R}^{N} \end{equation*} having prescribed mass…
Global existence and blowup for Choquard equations with an inverse-square potential
Xinfu Li
In this paper, the Choquard equation with an inverse-square potential and both focusing and defocusing nonlinearities in the energy-subcritical regime is investigated. For all the…
Groundstates for Choquard equations with the upper critical exponent
Xinfu Li, Shiwang Ma
In this paper, an autonomous Choquard equation with the upper critical exponent is considered. By using the Pohožaev constraint method, the subcritical approximation method and the…
Orbital stability of standing waves for Schrödinger type equations with slowly decaying linear potential
Xinfu Li, Junying Zhao
In this paper, kinds of Schrödinger type equations with slowly decaying linear potential and power type or convolution type nonlinearities are considered. By using the concentratio…