Elliptic equations of fourth-order with critical exponents on compact Riemannian manifolds (Q1606258)
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scientific article; zbMATH DE number 1770852
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Elliptic equations of fourth-order with critical exponents on compact Riemannian manifolds |
scientific article; zbMATH DE number 1770852 |
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Elliptic equations of fourth-order with critical exponents on compact Riemannian manifolds (English)
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24 July 2002
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The author establishes a result providing some qualitative information about the best constant in the Sobolev inequality on a compact Riemannian manifold. Then an existence theorem is given for a fourth-order elliptic equation with critical Sobolev exponent. Some geometrical applications are also presented.
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elliptic equations with critical Sobolev exponent
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nonlinear analysis on manifolds
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Sobolev spaces and inequalities
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