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

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

2003-11-19

arxiv.org/abs/math/0311321v1

Mathematics

Analysis of PDEs

27 pages

Scientific paper

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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