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math.AP2015
Existence and non existence results for the singular Nirenberg problem
Francesca de Marchis, Rafael López-Soriano
In this paper we study the problem, posed by Troyanov, of prescribing the Gaussian curvature under a conformal change of the metric on surfaces with conical singularities. Such geo…
math.AP2015★ 25 cited
Exact Morse index computation for nodal radial solutions of Lane-Emden problems
Francesca De Marchis, Isabella Ianni, Filomena Pacella
We consider the semilinear Lane-Emden problem \begin{equation}\label{problemAbstract} \left\{\begin{array}{lr}-Δu= |u|^{p-1}u\qquad \mbox{ in }B u=0\qquad\qquad\qquad\mbox{ on }\pa…