TY - JOUR
T1 - A variational problem pertaining to biharmonic maps
AU - Moser, Roger
PY - 2008
Y1 - 2008
N2 - The second derivative of a map into a Riemannian manifold is given by a nonlinear differential operator. We study minimizers and critical points of the L2-norm of this second derivative. We show existence of minimizers with the direct method and we prove a partial regularity result.
AB - The second derivative of a map into a Riemannian manifold is given by a nonlinear differential operator. We study minimizers and critical points of the L2-norm of this second derivative. We show existence of minimizers with the direct method and we prove a partial regularity result.
UR - http://www.scopus.com/inward/record.url?scp=49949101777&partnerID=8YFLogxK
UR - http://dx.doi.org/10.1080/03605300802224698
U2 - 10.1080/03605300802224698
DO - 10.1080/03605300802224698
M3 - Article
SN - 0360-5302
VL - 33
SP - 1654
EP - 1689
JO - Communications in Partial Differential Equations
JF - Communications in Partial Differential Equations
IS - 9
ER -