English

Asymptotic behaviour of solutions of fourth order Dirichlet problems

Functional Analysis 2007-05-23 v1

Abstract

The behaviour of solutions to fourth order problems is studied through the decomposition into a system of second order ones, which leads to relaxed formulations with the introduction of measure terms. This allows to solve a shape optimization problem for a simply supported thin plate.

Keywords

Cite

@article{arxiv.math/0006009,
  title  = {Asymptotic behaviour of solutions of fourth order Dirichlet problems},
  author = {Paolo Dall'Aglio},
  journal= {arXiv preprint arXiv:math/0006009},
  year   = {2007}
}

Comments

18 pages