Abstract
We study some properties of a nonconvex variational problem.
The infimum of the functional that has to be minimized fails to be attained.
Instead, minimizing sequences develop gradient oscillations which allow them
to decrease the value of the functional. We show an existence result
for a perturbed nonconvex version of the problem, and we study the qualitative
properties of the corresponding minimizer.
The pattern of the gradient oscillations for the original
non perturbed problem is analyzed numerically.
Anno
1997
Autori IAC
Tipo pubblicazione
Altri Autori
Chipot M., March R., Rosati M., Vergara Caffarelli G.
Editore
World Scientific.
Rivista
Mathematical models and methods in applied sciences
