An existence results for a nonlinear boundary value problem via topological arguments (Q519295)
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scientific article; zbMATH DE number 6700547
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An existence results for a nonlinear boundary value problem via topological arguments |
scientific article; zbMATH DE number 6700547 |
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An existence results for a nonlinear boundary value problem via topological arguments (English)
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4 April 2017
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This paper is concerned with the existence of a conformal scalar flat metric with prescribed boundary mean curvature on the unit \(n\)-dimensional ball. Combining topological and variational arguments, the author establishes the existence of solutions when the function to be prescribed satisfies at its critical points a non-degeneracy condition.
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conformal metric
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boundary mean curvature
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lack of compactness
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critical points at infinity
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stable and unstable manifolds
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retracts by deformation
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