Trudinger-Moser inequality on the whole plane with the exact growth condition (Q2344498)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Trudinger-Moser inequality on the whole plane with the exact growth condition |
scientific article |
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Trudinger-Moser inequality on the whole plane with the exact growth condition (English)
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15 May 2015
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The paper presents a new Trudinger-Moser inequality on the whole plane. Necessary and sufficient conditions for its applicability are stated in terms of the growth of general nonlinear functionals. Boundedness and compactness properties are studied.
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Sobolev critical exponent
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Trudinger-Moser inequality
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concentration compactness
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nonlinear Schrödinger equation
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ground state
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