Existence and multiplicity results for the scalar curvature problem on the half-sphere \(\mathbb S^3_+\) (Q2260780)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence and multiplicity results for the scalar curvature problem on the half-sphere \(\mathbb S^3_+\) |
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Existence and multiplicity results for the scalar curvature problem on the half-sphere \(\mathbb S^3_+\) (English)
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12 March 2015
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Summary: In this paper, we deal with the scalar curvature problem under minimal boundary mean curvature condition on the standard 3-dimensional half-sphere. Using tools related to the theory of critical points at infinity, we give existence results under perturbative and nonperturbative hypotheses, and with the help of some ``Morse inequalities at infinity'', we provide multiplicity results for our problem.
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critical points at infinity
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Morse inequalities at infinity
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