Motivated by the study of multivortices in the Electroweak Theory of Glashow–Salam–
Weinberg 33, we obtain a concentration-compactness principle for the following class of …

In modern theoretical physics, gauge field theories are of great importance since they keep
internal symmetries and account for phenomena such as spontaneous symmetry breaking …

We consider the following mean field equation: where M is a compact Riemann surface with
volume 1, h* is a positive C1 function on M, and ρ and αj are constants satisfying αj>− 1. In …

Abstract In the recently discovered (2+ 1)-dimensional relativistic Chern-Simons model, self-
duality can be achieved when the Higgs potential density assumes a special form for which …

For Liouville equations with singular sources, the interpretation of the equation and its
impact are most significant if the singular sources are quantized: the strength of each Dirac …

A necessary and sufficient condition is obtained for the existence of multivortex solutions of
the Bogomol'nyi system arising in the abelian Higgs theory defined on a rectangular domain …

For a bounded domain Ω⊂ R 2, we establish a concentration-compactness result for the
following class of “singular” Liouville equations:− Δu= eu− 4π∑ j= 1 m α jδ pj in Ω where …

Blow-up analysis of a Finsler–Liouville equation in two dimensions Page 1 J. Differential
Equations 252 (2012) 1668–1700 Contents lists available at ScienceDirect Journal of …

We study the existence of multiple blowup solutions for a semilinear elliptic equation with
homogeneous Dirichlet boundary condition, exponential nonlinearity, and a singular source …

Let $ M $ be a compact Riemann surface, $\alpha j\gt-1$, and $ h (x) $ a positive $ C^ 2$
function of $ M $. In this paper, we consider the following mean field equation:\[\Delta u …