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Stability of elliptic PDEs with respect to perturbations of the domain |
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| Authors: | Olivier Druet Emmanuel Hebey Paul Laurain |
| Affiliation: | 1. Ecole Normale Supérieure de Lyon, Département de Mathématiques – UMPA, 46 allée d?Italie, 69364 Lyon cedex 07, France;2. Université de Cergy-Pontoise, Département de Mathématiques, 2 avenue Adolphe Chauvin, 95302 Cergy-Pontoise cedex, France;3. IMJ – Paris 7, 175 rue du Chevaleret, 75013 Paris, France |
| Abstract: | The stability of the Poho?aev nonexistence property for stationary Schrödinger equations under perturbations of the domain is investigated in this paper. We prove that the sharp threshold for the regularity comes precisely with C1-perturbations of the domain. |
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