Weak compactness of solutions for fourth order elliptic systems with critical growth
Volume 214 / 2013
Studia Mathematica 214 (2013), 137-156
MSC: Primary 35J48; Secondary 35J60, 58E20.
DOI: 10.4064/sm214-2-3
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 a weak limit of weak solutions to such systems is again a weak solution to a limit system.
