We present Z. Naniewicz method of optimization a coercive integral functional 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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc101-0-14,
author = {Piotr Pucha\l a},
title = {Minimization of functional with integrand expressed as minimum of quasiconvex functions - general and special cases},
journal = {Banach Center Publications},
volume = {102},
year = {2014},
pages = {169-186},
zbl = {1298.49002},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc101-0-14}
}
Piotr Puchała. Minimization of functional with integrand expressed as minimum of quasiconvex functions - general and special cases. Banach Center Publications, Tome 102 (2014) pp. 169-186. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc101-0-14/