Abstract
Given a regular bounded open setΩ ⊂R 2,λ, μ>0 andg εL q (Ω) withq>2, we prove, under compatibility and safe load conditions ong, the existence of a minimizing pair for the functional
, over closed setsK ⊂ ℝ2 and functionsu ε C0(\(\overline \Omega \)) ∩ C2(Ω/K); here ¦[Du]¦ denotes the jump ofDu acrossK and ℋ1 is the 1-dimensional Hausdorff measure.
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Dedicated to Enrico Magenes for his 70th birthday