Abstract

We explore several relevant issues concerned with some typical two-dimensional optimal design problems by using a purely variational format. Specifically, we investigate situations of existence of optimal solutions and relaxation in terms of quasiconvexifications and Young measures.

Author information

Contact details are reproduced from the original publication and may be historical.

José Carlos Bellido

ETSI Industriales, Universidad de Castilla-La Mancha, 13071 Ciudad Real, Spain

Pablo Pedregal

ETSI Industriales, Universidad de Castilla-La Mancha, 13071 Ciudad Real, Spain

Keywords

  • Variational framework
  • existence-nonexistence of optimal solutions
  • relaxation
  • Young measures

Mathematics Subject Classification

49J15, 49J45, 74P10

Suggested citation

J. C. Bellido, P. Pedregal. “Existence in Optimal Control with State Equation in Divergence Form via Variational Principles.” Journal of Convex Analysis 10 (2003), No. 2, 365–378. https://doi.org/10.68381/jca1021

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Published by Heldermann Verlag, 2003. Rights now held by Banach Press.