6 papers
Normalized solutions of quasilinear Schrödinger-Poisson system with critical nonlinear term in bounded domain
Li Chen, Li Wang
This work examines a quasilinear Schrödinger-Poisson system involving a critical nonlinearity, expressed as \[ -Δu + ϕu + λu = |u|^{q-2} u + |u|^4 u, \quad x \in Ω_r, \] \[ -Δϕ- \v…
On the mean-field limit of Vlasov-Poisson-Fokker-Planck equations
Li Chen, Jinwook Jung, Peter Pickl +1
The derivation of effective descriptions for interacting many-body systems is an important branch of applied mathematics. We prove a propagation of chaos result for a system of …
Riesz transform, function spaces and their applications on infinite dimensional compact groups
Alexander Bendikov, Li Chen, Laurent Saloff-Coste
On a compact connected group , consider the infinitesimal generator of a central symmetric Gaussian convolution semigroup . We establish several regularity res…
Pluckerians twisted with linear forms and Druzkowski maps
Li Chen
Let be an matrix such that and be the cubic linear map with respect to . We introduce and apply an algebraic construction…
Smooth solutions to the Christoffel problem in
Li Chen
The famous Christoffel problem is possibly the oldest problem of prescribed curvatures for convex hypersurfaces in Euclidean space. Recently, this problem has been naturally formul…
Convex hypersurfaces of prescribed curvatures in hyperbolic space
Li Chen
For a smooth, closed and uniformly -convex hypersurface in , the horospherical Gauss map is a diffeomorphism. We consider t…