Abstract Lectures at the 1998 Les Houches Summer School: Topological Aspects of Low
Dimensional Systems. These lectures contain an introduction to various aspects of Chern …

It is shown that there is a critical value of the Chern-Simons coupling parameter so that,
below the value, there exists self-dual doubly periodic vortex solutions, and, above the …

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 this paper a globally convergent computational scheme is established to approximate a
topological multivortex solution in the recently discovered self-dual Chern-Simons theory in …

During a very large part of his career the author of this book has been interested in the
application of variational methods to problems from science and engineering, particularly …

Locally concentrated solutions in the Born–Infeld theory are presented. In particular,
existence and uniqueness theorems are established for multicentred magnetic string …

We study radially symmetric solutions of a nonlinear elliptic partial differential equation in R
2 with critical Sobolev growth, ie the nonlinearity is of exponential type. This problem arises …

In this paper we consider the bosonic sector of the electroweak theory. It has been shown in
the work of Ambjorn and Olesen that when the Higgs mass equals to the mass of the Z …

The BPS limit of the inhomogeneous abelian Higgs model is considered in $(1+ 2) $-
dimensions. The second order Bogomolny equation is examined in the presence of an …

Our aim is to prove rigorously that the Chern‐Simons model of Hong, Kim, and Pac [13] and
Jackiw and Weinberg [14](the CS model) and the Abelian Higgs model of Ginzburg and …