Minimization of functional with integrand expressed as minimum of quasiconvex functions — general and special cases
Volume 101 / 2014
Banach Center Publications 101 (2014), 169-186
MSC: Primary 49J40, 49N15, 49J45; Secondary 46N10, 28E99.
DOI: 10.4064/bc101-0-14
Abstract
We present Z. Naniewicz method of optimization a coercive integral functional $\mathcal{J}$ with integrand being a minimum of quasiconvex functions. This method is applied to the minimization of functional with integrand expressed as a minimum of two quadratic functions. This is done by approximating the original nonconvex problem by appropriate convex ones.
