Critical nonlinear elliptic equations with singularities and cylindrical symmetry. (Q1880516)
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scientific article; zbMATH DE number 2104137
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Critical nonlinear elliptic equations with singularities and cylindrical symmetry. |
scientific article; zbMATH DE number 2104137 |
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Critical nonlinear elliptic equations with singularities and cylindrical symmetry. (English)
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28 September 2004
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Summary: Motivated by a problem arising in astrophysics we study a nonlinear elliptic equation in RN with cylindrical symmetry and with singularities on a whole subspace of \(\mathbb{R}^N\). We study the problem in a variational framework and, as the nonlinearity also displays a critical behavior, we use some suitable version of the Concentration-Compactness Principle. We obtain several results on existence and nonexistence of solutions.
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critical exponents
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loss of compactness
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cylindrical symmetry
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singularities
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