3 papers
math.AP2026
Delaunay solutions to the fractional Hartree equation with critical growth
João Henrique Andrade, Tao Feng, Paolo Piccione +1
We study positive solutions of the critical fractional Hartree equation with a non-removable isolated singularity at the origin. This equation is doubly nonlocal, involving both th…
math.AP2026
Asymptotic behavior of solutions to a planar Hartree equation with isolated singularities
Tao Feng, Minbo Yang, Xianmei Zhou
In this paper we investigate the isolated singularities of the Hartree type equation \begin{equation*} -Îu (x)= \left(\frac{1}{|x|^α}*e^u\right)e^{u(x)}\quad \text{in } B_{1}\set…
math.AP2025
Local asymptotics for singular solutions to critical Hartree equations
João Henrique Andrade, Tao Feng, Paolo Piccione +1
We investigate the qualitative properties of a critical Hartree equation defined on punctured domains. Our study has two main objectives: analyzing the asymptotic behavior near iso…