Geodesic
Weak compactness of solutions for fourth order elliptic systems with critical growth
Paweł Goldstein 1   ; Paweł Strzelecki 1   ; Anna Zatorska-Goldstein 2
1 Institute of Mathematics University of Warsaw Banacha 2 02-097 Warszawa, Polska
2 Institute of Applied Mathematics and Mechanics University of Warsaw Banacha 2 02-097 Warszawa, Polska
Studia Mathematica, Tome 214 (2013) no. 2, pp. 137-156 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 a weak limit of weak solutions to such systems is again a weak solution to a limit system.
DOI : 10.4064/sm214-2-3
Keywords: consider class fourth order elliptic systems which include euler lagrange equations biharmonic mappings dimension prove weak limit weak solutions systems again weak solution limit system

Paweł Goldstein  1   ; Paweł Strzelecki  1   ; Anna Zatorska-Goldstein  2

1 Institute of Mathematics University of Warsaw Banacha 2 02-097 Warszawa, Polska
2 Institute of Applied Mathematics and Mechanics University of Warsaw Banacha 2 02-097 Warszawa, Polska 
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Paweł Goldstein; Paweł Strzelecki; Anna Zatorska-Goldstein. Weak compactness of solutions for fourth order elliptic systems with critical growth. Studia Mathematica, Tome 214 (2013) no. 2, pp. 137-156. doi: 10.4064/sm214-2-3

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