Asymptotic behaviour of solutions of fourth order Dirichlet problems

2000/06/02 by Paolo Dall'Aglio
Mathematics · #math.FA

paper · pdf

published as Rend. Istit. Mat. Univ. Trieste 9 (1997) 19-38 · 18 pages

arxiv created 2000/06/02 · arxiv updated 2009/11/30

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.

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