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math.AP2024
On the Nirenberg problem on spheres: Arbitrarily many solutions in a perturbative setting
Mohameden Ahmedou, Mohamed Ben Ayed, Khalil El Mehdi
Given a smooth positive function on the standard sphere , we use Morse theoretical methods and counting index formulae to prove that, under generic conditio…
math.AP2024
Nirenberg problem on high dimensional spheres: Blow up with residual mass phenomenon
Mohameden Ahmedou, Mohamed Ben Ayed, Khalil El Mehdi
In this paper, we extend the analysis of the subcritical approximation of the Nirenberg problem on spheres recently conducted in \cite{MM19, MM}. Specifically, we delve into the sc…