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Singular perturbation problems with a compact support semilinear term

Singular perturbation problems with a compact support semilinear term

In this paper we study the asymptotic behavior of the functional Fe(u) := ∫ Ω [ e|∇u| + e−3β (u e )] dx where β is a non-negative lower semicontinuous function with compact support. When e tends to 0, the limit functional corresponds to a least area problem with an …