Xuemei Li

collaborators

3 papers

math.AP2023

Boundary Regularity for Fully Nonlinear Degenerate Elliptic Equations

Xuemei Li, Dongsheng Li, Lihe Wang

This paper investigates fully nonlinear degenerate elliptic equations of the form $∣ D u ∣^{γ} F (D^{2} u) = f$ with $γ > 0$ {and $F (0) = 0$ }. Using a unified compactness and perturbation framew…

math.AP2023

Nondegeneracy of positive bubble solutions for generalized energy-critical Hartree equations

Xuemei Li, Chenxi Liu, Xingdong Tang +1

In this paper, we show the nondegeneracy of positive bubble solutions for generalized energy-critical Hartree equations (NLH) \begin{equation*} -{Δu}\sts{x} -{\bmα}\sts{N,λ} \int_{…

math.AP2022

$W^{2, δ}$ Estimates for Solution Sets of Fully Nonlinear Elliptic inequalities on $C^{1, α}$ Domains

Dongsheng Li, Xuemei Li

In this paper, we establish boundary $W^{2, δ}$ estimates for $u \in S (λ, Λ, f)$ on $C^{1, α}$ domains with $f \in L^{p}$ as $n < p < \infty$ and $C^{1, α}$ boundary values. Instead of straight…

Boundary Regularity for Fully Nonlinear Degenerate Elliptic Equations

Nondegeneracy of positive bubble solutions for generalized energy-critical Hartree equations

W2,δ Estimates for Solution Sets of Fully Nonlinear Elliptic inequalities on C1,α Domains

$W^{2, δ}$ Estimates for Solution Sets of Fully Nonlinear Elliptic inequalities on $C^{1, α}$ Domains