167 citations · 467 across the 29 of their papers we have counts for
4 papers · 1 filter
On the Leray-Schauder degree of the Toda system on compact surfaces
Andrea Malchiodi, David Ruiz
In this paper we consider the so-called Toda system of equations on a compact surface. In particular, we discuss the parity of the Leray-Schauder degree of that problem. Our main t…
Boundary concentration of a Gauged Nonlinear Schrodinger Equation
Alessio Pomponio, David Ruiz
This paper is motivated by a gauged Schrodinger equation in dimension 2 including the so-called Chern-Simons term. The radially symmetric case leads to an elliptic problem with a n…
A Variational Analysis of a Gauged Nonlinear Schrödinger Equation
Alessio Pomponio, David Ruiz
This paper is motivated by a gauged Schrödinger equation in dimension 2 including the so-called Chern-Simons term. The study of radial stationary states leads to the nonlocal probl…
A general existence result for the Toda system on compact surfaces
Luca Battaglia, Aleks Jevnikar, Andrea Malchiodi +1
In this paper we consider the Toda system of equations on a compact surface, which is motivated by the study of models in non-abelian Chern-Simons theory. We prove a general existe…