WIAS Preprint No. 534, (1999)

Shape optimization in free boundary systems


  • Neittaanmäki, Pekka
  • Tiba, Dan

2010 Mathematics Subject Classification

  • 49J40 49Q10 35R35


  • shape optimization, mixed boundary conditions, continuous boundaries


We analyze existence results in constrained optimal design problems governed by variational inequalities of obstacle type. The main applications that we discuss concern the optimal packaging problem and the electrochemical machining process. Our assumptions, in order to obtain the existence of at least one optimal domain, are just boundedness and uniform continuity (the uniform segment property) for the boundaries of the unknown regions where the free boundary problems are defined. No restrictions on the dimension are imposed.

Appeared in

  • Gakuto Internat. Ser. Math. Sci. Appl. 14, Tokyo (2000), pp.334-343

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