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An optimization problem with free boundary governed by a degenerate quasilinear operator. (English) Zbl 1212.35515

Summary: In this paper we study the existence, regularity and geometric properties of an optimal configuration to a free boundary optimization problem governed by the \(p\)-Laplacian.

MSC:

35R35 Free boundary problems for PDEs
35J70 Degenerate elliptic equations
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