Infinitely many solutions for the prescribed boundary mean curvature problem in \(\mathbb B^N\) (Q2841826)
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scientific article; zbMATH DE number 6192652
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Infinitely many solutions for the prescribed boundary mean curvature problem in \(\mathbb B^N\) |
scientific article; zbMATH DE number 6192652 |
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30 July 2013
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infinitely many solutions
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prescribed boundary mean curvature
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variational reduction
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Infinitely many solutions for the prescribed boundary mean curvature problem in \(\mathbb B^N\) (English)
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The authors study the problem of finding a metric conformal to the Euclidean metric whose scalar curvature vanishes in the unit ball and the mean curvature of the unit sphere is given. This is equivalent to solving a boundary value problem in the unit ball with prescribed boundary mean curvature. A sufficient condition to have infinitely many non-radial solutions is obtained.
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