Journal of Applied Mathematics
Volume 2003 (2003), Issue 10, Pages 535-551
doi:10.1155/S1110757X03210032
Abstract
We consider a nonconvex variational problem for which the set of
admissible functions consists of all Lipschitz functions located
between two fixed obstacles. It turns out that the value of the
minimization problem at hand is equal to zero when the obstacles
do not touch each other; otherwise, it might be positive. The
results are obtained through the construction of suitable
minimizing sequences. Interpolating these minimizing sequences in
some discrete space, a numerical analysis is then carried out.