TY - JOUR
T1 - Harmonic Maps and Critical Points of Penalized Energy
AU - Chunqin Zhou  & Deliang Xu 
JO - Journal of Partial Differential Equations
VL - 2
SP - 111
EP - 126
PY - 2003
DA - 2003/05
SN - 16
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5410.html
KW - Harmonic map
KW - blow-up formula
KW - penalized energy
AB -  We discuss a sequence solutions u_ε for the E-L equations of the penalized energy defined by Chen-Struwe. We show that the blow-up set of u_ε is a H^{m-2} - rectifiable set and its weak limit satisfies a blow-up formula. Consequently, the weak limit will be a stationary harmonic map if and only if the blow-up set is stationary.