Non-existence of extremals for the Adimurthi-Druet inequality (Q1627692)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Non-existence of extremals for the Adimurthi-Druet inequality |
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Non-existence of extremals for the Adimurthi-Druet inequality (English)
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3 December 2018
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The main result of the paper establishes the non-existence of extremal functions for the Adimurthi-Druet inequality in the plane when the parameter approaches the first eigenvalue of the Laplacian operator. This contrasts with the existence of extremals for the standard Moser-Trudinger inequality.
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Moser-Trudinger inequality
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Adimurthi-Druet inequality
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extremal functions
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Dirichlet energy
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