Recently, I read Orbital stability of standing waves for some nonlinear Schrödinger equations. I have some question about the concentration compactness method, so I want to read the Lions' Principe de concentration-compacité en calcul des variations. But I can't find it, where I can download it. Or there are some substitute. Thanks
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Is this what you want ? http://www.numdam.org/article/SEDP_1982-1983____A14_0.pdf – Claude Leibovici Aug 11 '18 at 06:08
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@ClaudeLeibovici Yes, thanks. – Enhao Lan Aug 11 '18 at 06:15
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3I just typed Principe de concentration-compacite en calcul des variations on Google and got it ! Cheers and have fun ! – Claude Leibovici Aug 11 '18 at 06:17
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@ClaudeLeibovici Whether it has English version ? – Enhao Lan Sep 03 '18 at 01:08
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I am afraid that there is no. This is a teaching material from the most prestigious French school.l – Claude Leibovici Sep 03 '18 at 02:17
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In fact, the reference in the paper by Cazenave and Lions is for Lions' article MR0653747 (or Zbl 0485.49005), which is not the one which Claude Leibovici posted, as evidenced by the number of pages (which is different from 4).
To download the refereed paper, you may visit https://www.academie-sciences.fr/en/Transmettre-les-connaissances/comptes-rendus-de-l-academie-des-sciences-numerisees-sur-le-site-de-la-bibliotheque-nationale-de-france.html and access the pages 261-264 of the 15 February 1982 volume of the Comptes Rendus de l'Académie des sciences.
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It's been a long time since the problem is asked. Although I am no longer interested in it, I still appreciate your detailed answer. – Enhao Lan Mar 29 '24 at 02:01