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

Anna Zatorska-Goldstein; Pawe{\l} Goldstein; Pawe{\l} Strzelecki

arxiv: 1301.0927 · v1 · pith:KEPCUF65new · submitted 2013-01-05 · 🧮 math.AP

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

Pawe{\l} Goldstein , Pawe{\l} Strzelecki , Anna Zatorska-Goldstein This is my paper

classification 🧮 math.AP

keywords weaksystemsellipticfourthlimitordersolutionsbiharmonic

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

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