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arXiv · 1301.0927

Weak compactness of solutions for fourth order elliptic systems with critical growth

Paweł Goldstein·Paweł Strzelecki·Anna Zatorska-Goldstein
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Abstract

We consider a class of fourth order elliptic systems which include the Euler-Lagrange equations of biharmonic mappings in dimension 4 and we prove that weak limit of weak solutions to such systems is again a weak solution to a limit system.

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Paweł Goldstein, Paweł Strzelecki, Anna Zatorska-Goldstein. 2013-01-05. Weak compactness of solutions for fourth order elliptic systems with critical growth. https://arxiv.org/abs/1301.0927

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