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20162025
most citedAsymptotic analysis for the Lane-Emden problem in dimension two

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math.AP2025

Stability and asymptotic behaviour of one-dimensional solutions in cylinders

Francesca De Marchis, Lisa Mazzuoli, Filomena Pacella

We consider positive one-dimensional solutions of a Lane-Emden relative Dirichlet problem in a cylinder and study their stability/instability properties as the energy varies with r…