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

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Abstract / Description of output

In this article under assumption of "small" density for negativity set, we prove local Lipschitz regularity for the one phase minimization problem with free boundary for the functional $$\mathcal E_p(v,\Omega)=\int_\Omega|\nabla v|^p+\lambda^p_1\X{u\leq0}+\lambda^p_2\X{u>0},\hspace{3mm} 1
Original languageEnglish
Pages (from-to)79-86
Number of pages8
JournalInterfaces and Free Boundaries
Volume10
Issue number1
DOIs
Publication statusPublished - 2008

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