Minimization of functional with integrand expressed as minimum of quasiconvex functions - general and special cases

Piotr Puchała

Banach Center Publications (2014)

  • Volume: 101, Issue: 1, page 169-186
  • ISSN: 0137-6934

Abstract

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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.

How to cite

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Piotr Puchała. "Minimization of functional with integrand expressed as minimum of quasiconvex functions - general and special cases." Banach Center Publications 101.1 (2014): 169-186. <http://eudml.org/doc/282018>.

@article{PiotrPuchała2014,
abstract = {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.},
author = {Piotr Puchała},
journal = {Banach Center Publications},
keywords = {calculus of variations; quasiconvex functions; Young measures},
language = {eng},
number = {1},
pages = {169-186},
title = {Minimization of functional with integrand expressed as minimum of quasiconvex functions - general and special cases},
url = {http://eudml.org/doc/282018},
volume = {101},
year = {2014},
}

TY - JOUR
AU - Piotr Puchała
TI - Minimization of functional with integrand expressed as minimum of quasiconvex functions - general and special cases
JO - Banach Center Publications
PY - 2014
VL - 101
IS - 1
SP - 169
EP - 186
AB - 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.
LA - eng
KW - calculus of variations; quasiconvex functions; Young measures
UR - http://eudml.org/doc/282018
ER -

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