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arxiv: math/0311321 · v1 · submitted 2003-11-19 · 🧮 math.AP

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

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keywords equationthinannuliboundedenergyannulusbecomesbiharmonic
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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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