Sharp quantization for Lane-Emden problems in dimension two

Abstract

In this short note, we prove a sharp quantization for positive solutions of Lane-Emden problems in a bounded planar domain. This result has been conjectured by De Marchis, Ianni and Pacella [6, Remark 1.2].

References in corpus (3)

• Quasi-radial nodal solutions for the Lane-Emden problem in the ball
• Multi-bumps analysis for trudinger-moser nonlinearities i -quantification and location of concentration points
• Asymptotic analysis for the Lane-Emden problem in dimension two

Cited by in corpus (2)

• When does a perturbed Moser-Trudinger inequality admit an extremal?
• Non-degeneracy and local uniqueness of positive solutions to the Lane-Emden problem in dimension two