A shape optimization approach to free boundary value problems
Jaroslav Haslinger, Ke Karlovu, Tomáš Kozubek · 2003
This contribution combines a shape optimization approach to free boundary value problems of Bernoulli type with an embedding domain technique. A theoretical framework is developed which allows to prove continuous dependence of the primal and dual variables in the resulting saddle point problems with respect to the domain. This ensures the existence of a solution of a related shape optimization problem in a suciently large class of admissible domains.