An elliptic variational problem involving level surface area on Riemannian manifolds (Q446409)
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scientific article; zbMATH DE number 6078122
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An elliptic variational problem involving level surface area on Riemannian manifolds |
scientific article; zbMATH DE number 6078122 |
Statements
An elliptic variational problem involving level surface area on Riemannian manifolds (English)
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6 September 2012
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The paper studies a variational problem involving the Dirichlet integral and the area of a level surface on a finite dimensional Riemannian manifold. Regularity results for the minimizers are established. The obtained results extend the corresponding statements known for the Euclidean version of the problem.
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monotonicity formula
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variational form
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free boundary problems
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