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Nonexistence of Bounded Energy Solutions for a Fourth Order Equation on Thin Annuli

Mohamed Ben Ayed·Khalil El Mehdi·Mokhless Hammami
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Abstract

In this paper, we studu a biharmonic equation under the Navier boundary condition on thin annuli. We show that when the annulus becomes thin, the equation has no solution whose energy is bounded.

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Mohamed Ben Ayed, Khalil El Mehdi, Mokhless Hammami. 2003-11-19. Nonexistence of Bounded Energy Solutions for a Fourth Order Equation on Thin Annuli. https://arxiv.org/abs/math/0311321

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