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On the Lipschitz regularity of solutions of a minimum problem with free boundary

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Karakhanyan, Aram

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European Mathematical Society Publishing House

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In this article under the assumption of "small" density for the negativity set, we prove local Lipschitz regularity for the two-phase minimization problem with free boundary for the functional {equation presented} where λ1, λ2 are positive constants so

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Interfaces and Free Boundaries

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