A non convex minimum problem on a square arising in shape optimization is studied. Conditions are discussed for the existence or the non existence of solutions
Celada, P., Cellina, A. (1998). Existence and nonexistence of solutions to a variational problem on a square. HOUSTON JOURNAL OF MATHEMATICS, 24(2), 345-375.
Existence and nonexistence of solutions to a variational problem on a square
Cellina, A.
1998
Abstract
A non convex minimum problem on a square arising in shape optimization is studied. Conditions are discussed for the existence or the non existence of solutions
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