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math.AP2026
On the Classification of blow-up solutions of a singular Liouville equation on the disk
Zhijie Chen, Houwang Li, Tuoxin Li +1
We study the blow-up behavior of solutions to the singular Liouville equation \[ Î\tilde u+λe^{\tilde u}=4Ïαδ_0 \quad\text{in }B,\quad \tilde u=0 \quad\text{on }\partial B, \]…
math.AP2025
Critical points of the Moser-Trudinger functional on conical singular surfaces, I: compactness
Zhijie Chen, Houwang Li
Let be a compact Riemann surface with conical singularites of angles in , and be a positive smooth function. In this paper, by establishin…
math.AP2024
Normalized solutions for a class of Sobolev critical Schrodinger systems
Houwang Li, Tianhao Liu, Wenming Zou
This paper focuses on the existence and multiplicity of normalized solutions for the coupled Schrodinger system with Sobolev critical coupling term. We present several existence an…