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

Paweł Goldstein, Paweł Strzelecki, and Anna Zatorska-Goldstein. "Weak compactness of solutions for fourth order elliptic systems with critical growth." Studia Mathematica 214.2 (2013): 137-156. <http://eudml.org/doc/285633>.

@article{PawełGoldstein2013,
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.},
author = {Paweł Goldstein, Paweł Strzelecki, Anna Zatorska-Goldstein},
journal = {Studia Mathematica},
keywords = {fourth order nonlinear elliptic systems; weak convergence; concentration-compactness},
language = {eng},
number = {2},
pages = {137-156},
title = {Weak compactness of solutions for fourth order elliptic systems with critical growth},
url = {http://eudml.org/doc/285633},
volume = {214},
year = {2013},
}

TY - JOUR
AU - Paweł Goldstein
AU - Paweł Strzelecki
AU - Anna Zatorska-Goldstein
TI - Weak compactness of solutions for fourth order elliptic systems with critical growth
JO - Studia Mathematica
PY - 2013
VL - 214
IS - 2
SP - 137
EP - 156
AB - 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.
LA - eng
KW - fourth order nonlinear elliptic systems; weak convergence; concentration-compactness
UR - http://eudml.org/doc/285633
ER -