Stability of the Pohožaev obstrucion in dimension 3

Olivier Druet; Paul Laurain

Journal of the European Mathematical Society (2010)

  • Volume: 012, Issue: 5, page 1117-1149
  • ISSN: 1435-9855

Abstract

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We investigate problems connected to the stability of the well-known Pohoˇzaev obstruction. We generalize results which were obtained in the minimizing setting by Brezis and Nirenberg [2] and more recently in the radial situation by Brezis and Willem [3].

How to cite

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Druet, Olivier, and Laurain, Paul. "Stability of the Pohožaev obstrucion in dimension 3." Journal of the European Mathematical Society 012.5 (2010): 1117-1149. <http://eudml.org/doc/277292>.

@article{Druet2010,
abstract = {We investigate problems connected to the stability of the well-known Pohoˇzaev obstruction. We generalize results which were obtained in the minimizing setting by Brezis and Nirenberg [2] and more recently in the radial situation by Brezis and Willem [3].},
author = {Druet, Olivier, Laurain, Paul},
journal = {Journal of the European Mathematical Society},
keywords = {non-existence; Pohožaev obstruction; Pohožaev identity; critical Sobolev exponent; stability; non-existence; Pohožaev obstruction; Pohožaev identity; critical Sobolev exponent; stability},
language = {eng},
number = {5},
pages = {1117-1149},
publisher = {European Mathematical Society Publishing House},
title = {Stability of the Pohožaev obstrucion in dimension 3},
url = {http://eudml.org/doc/277292},
volume = {012},
year = {2010},
}

TY - JOUR
AU - Druet, Olivier
AU - Laurain, Paul
TI - Stability of the Pohožaev obstrucion in dimension 3
JO - Journal of the European Mathematical Society
PY - 2010
PB - European Mathematical Society Publishing House
VL - 012
IS - 5
SP - 1117
EP - 1149
AB - We investigate problems connected to the stability of the well-known Pohoˇzaev obstruction. We generalize results which were obtained in the minimizing setting by Brezis and Nirenberg [2] and more recently in the radial situation by Brezis and Willem [3].
LA - eng
KW - non-existence; Pohožaev obstruction; Pohožaev identity; critical Sobolev exponent; stability; non-existence; Pohožaev obstruction; Pohožaev identity; critical Sobolev exponent; stability
UR - http://eudml.org/doc/277292
ER -

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