27 citations · 27 across the 3 of their papers we have counts for
3 papers
math.AP2023
On the shape of solutions to elliptic equations in possibly non convex planar domains
Luca Battaglia, Fabio De Regibus, Massimo Grossi
In this note we prove uniqueness of the critical point for positive solutions of elliptic problems in bounded planar domains: we first examine the Poisson problem - Delta u = f(x,y…
math.AP2016
A unified approach of blow-up phenomena for two-dimensional singular Liouville systems
Luca Battaglia, Angela Pistoia
We consider generic 2 x 2 singular Liouville systems on a smooth bounded domain in the plane having some symmetry with respect to the origin. We construct a family of solutions to…
math.AP2014★ 27 cited
Existence and multiplicity result for the singular Toda system
Luca Battaglia
We consider the Toda system on a compact surface. We give existence and multiplicity results, using variational and Morse-theoretical methods. It is the first existence result when…