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Stability of the Pohožaev obstrucion in dimension 3

Olivier DruetPaul Laurain — 2010

Journal of the European Mathematical Society

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].

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