Showing math.APShow all
3 papers · 1 filter
math.AP2018
Multiple Solutions for the Non-Abelian Chern--Simons--Higgs Vortex Equations
Xiaosen Han, Gabriella Tarantello
In this paper we study the existence of multiple solutions for the non-Abelian Chern--Simons--Higgs -system: \[ Δu_i=λ\left(\sum_{j=1}^N\sum_{k=1}^N K_{kj}K_{ji}\re^{u…
math.AP2017
Sharp estimates for solutions of mean field equation with collapsing singularity
Youngae Lee, Chang-shou Lin, Gabriella Tarantello +1
The pioneering work of Brezis-Merle [7], Li-Shafrir [27], Li [26] and Bartolucci-Tarantello [4] showed that any sequence of blow up solutions for (singular) mean field equations of…
math.AP2015
Blow up analysis for a cosmic strings equation
Gabriella Tarantello
In this paper we develop a blow up analysis for solutions of a planar semilinear elliptic equation involving exponential nonlinearities. Such solutions describe cosmic strings, and…