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

Analysis of PDEs 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0311321,
  title  = {Nonexistence of Bounded Energy Solutions for a Fourth Order Equation on Thin Annuli},
  author = {Mohamed Ben Ayed and Khalil El Mehdi and Mokhless Hammami},
  journal= {arXiv preprint arXiv:math/0311321},
  year   = {2007}
}

Comments

27 pages