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Sharp quantization
for Lane–Emden problems in dimension two
Pierre-Damien Thizy |
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Vol. 300 (2019), No. 2, 491–497
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Abstract |
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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]. |
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Keywords
Lane–Emden, blow-up analysis, concentration phenomena,
elliptic PDEs
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Mathematical Subject Classification 2010
Primary: 35B33,35B05,35B06,35J91
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Milestones
Received: 26 March 2018
Revised: 12 October 2018
Accepted: 12 October 2018
Published: 30 July 2019
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Authors |
| Pierre-Damien Thizy | |
| Université Claude Bernard Lyon
1 Institut Camille Jordan Villeurbanne France |
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