A Ljusternik--Schnirelmann type theorem for eigenvalues of a prescribed mean curvature problem (Q2492451)
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| Language | Label | Description | Also known as |
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| English | A Ljusternik--Schnirelmann type theorem for eigenvalues of a prescribed mean curvature problem |
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A Ljusternik--Schnirelmann type theorem for eigenvalues of a prescribed mean curvature problem (English)
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9 June 2006
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An eigenvalue problem corresponding to the prescribed mean curvature equation with homogeneous Dirichlet boundary condition is studied. A Ljusternik-Schnirelmann type theorem is obtained for a related variational inequality that leads to the existence of infinitely many eigenvalues and infinitely many eigenfunctions on each level of the area functional. This approach is developed in a space of functions of bounded variation.
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variational inequality
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eigenvalue problem
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prescribed mean curvature
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function of bounded variation
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