We introduce a compactification of the space of simple positive divisors on a Riemann
surface, as well as a compactification of the universal family of punctured surfaces above …

It has been shown in [17] that, for given| c|< 1, the moduli space of constant mean curvature
(CMC) c-immersions of a closed orientable surface of genus g≥ 2 into a hyperbolic 3 …

In this article we study bubbling solutions of regular $ SU (3) $ Toda systems defined on a
Riemann surface. There are two major difficulties corresponding to the profile of bubbling …

The pioneering work of Brezis-Merle, Li-Shafrir, Li, and Bartolucci-Tarantello showed that
any sequence of blow-up solutions for (singular) mean field equations of Liouville type must …

To obtain the a priori estimate of Toda system, the first step is to determine all the possible
local masses of blow up solutions. In this paper we study this problem and improve the main …

Motivated by the work of Bryant on constant mean curvature (CMC) $1 $-immersions of
surfaces into the hyperbolic space H^ 3 and after the results of Tarantello (2023), we pursue …

We analyze a blow-up sequence of solutions for Liouville-type equations involving Dirac
measures with “collapsing” poles. We consider the case where blow-up occurs exactly at a …

In this paper, we consider B 2 and G 2 Toda systems on a compact Riemann surface M. We
investigate the relation between the topological property of M and the Leray-Schauder …

In this article, we study bubbling sequences of regular SU (3) SU(3) Toda systems defined
on a Riemann surface. There are two major difficulties corresponding to the profile of …

The seminal work by Brezis and Merle has been pioneering in studying the bubbling
phenomena of the mean field equation with singular sources. When the vortex points are not …