254 citations · 698 across the 59 of their papers we have counts for
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math.AP2011★ 7 cited
Non-uniqueness results for critical metrics of regularized determinants in four dimensions
Matthew Gursky, Andrea Malchiodi
The regularized determinant of the Paneitz operator arises in quantum gravity (see Connes 1994, IV.4.). An explicit formula for the relative determinant of two conformally relat…
math.AP2011
A variational Analysis of the Toda System on Compact Surfaces
Andrea Malchiodi, David Ruiz
In this paper we consider the Toda system of equations on a compact surface. We will give existence results by using variational methods in a non coercive case. A key tool in our a…
math.AP2011
Weighted Barycentric Sets and Singular Liouville Equations on Compact Surfaces
Alessandro Carlotto, Andrea Malchiodi
Given a closed two dimensional manifold, we prove a general existence result for a class of elliptic PDEs with exponential nonlinearities and negative Dirac deltas on the right-han…