The Dirichlet problem for a singular elliptic equation arising in the level set formulation of the inverse mean curvature flow
In the present paper we consider the Dirichlet problem associated with a nonlinear singular elliptic equation whose differential operator arises in the level set formulation of the inverse mean curvature flow; namely, we study [Image omitted] We introduce a suitable concept of weak solution, for whi...
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| Veröffentlicht in: | Advances in calculus of variations 2013-04, Vol.6 (2), p.123 |
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| container_title | Advances in calculus of variations |
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| creator | Mazón, José M. Segura de León, Sergio |
| description | In the present paper we consider the Dirichlet problem associated with a nonlinear singular elliptic equation whose differential operator arises in the level set formulation of the inverse mean curvature flow; namely, we study [Image omitted] We introduce a suitable concept of weak solution, for which we prove existence and uniqueness of the homogeneous Dirichlet problem in a bounded open set of R N for data f belonging to suitable Lebesgue spaces. Moreover, examples of explicit solutions are shown. |
| doi_str_mv | 10.1515/acv-2011-0001 |
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| language | eng |
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| source | De Gruyter journals |
| subjects | Dirichlet problem |
| title | The Dirichlet problem for a singular elliptic equation arising in the level set formulation of the inverse mean curvature flow |
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