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

Aram Karakhanyan

doi:10.4171/IFB/180

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

Aram Karakhanyan

School of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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 language	English
Pages (from-to)	79-86
Number of pages	8
Journal	Interfaces and Free Boundaries
Volume	10
Issue number	1
DOIs	https://doi.org/10.4171/IFB/180
Publication status	Published - 2008

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10.4171/IFB/180

On the Lipschitz regularity of Solutions of a Minimum Problem with Free BoundarySubmitted manuscript, 664 KB

http://www.ems-ph.org/journals/show_abstract.php?issn=1463-9963&vol=10&iss=1&rank=4

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abstract = "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",

author = "Aram Karakhanyan",

year = "2008",

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AB - 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

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U2 - 10.4171/IFB/180

DO - 10.4171/IFB/180

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JO - Interfaces and Free Boundaries

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SN - 1463-9963

IS - 1

ER -

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

Abstract

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