Sharp quantization for Lane–Emden problems in dimension two

Pierre-Damien Thizy

Vol. 300 (2019), No. 2, 491–497

DOI: 10.2140/pjm.2019.300.491

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

[J. Fixed Point Theory Appl. 19:1 (2017), 889–916, Remark 1.2].

Keywords

Lane–Emden, blow-up analysis, concentration phenomena, elliptic PDEs

Mathematical Subject Classification 2010

Primary: 35B33,35B05,35B06,35J91

Milestones

Received: 26 March 2018

Revised: 12 October 2018

Accepted: 12 October 2018

Published: 30 July 2019