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A nonexistence result for Yamabe type problems on thin annuli

✍ Scribed by Mohamed Ben Ayed; Khalil El Mehdi; Mokhless Hammami

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
220 KB
Volume
19
Category
Article
ISSN
0294-1449

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✦ Synopsis

Given any constant C > 0, we show that there exists Ξ΅ 0 > 0 such that for any Ξ΅ < Ξ΅ 0 , the problem

has no solution u Ξ΅ , whose energy, A Ξ΅ |βˆ‡u Ξ΅ | 2 , is less than C, where A Ξ΅ is a ringshaped open set in R n and n 4. ο›™ 2002 Γ‰ditions scientifiques et mΓ©dicales Elsevier SAS

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