Partial regularity of stable solutions to the Emden equation (Q425163)
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scientific article; zbMATH DE number 6043353
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Partial regularity of stable solutions to the Emden equation |
scientific article; zbMATH DE number 6043353 |
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Partial regularity of stable solutions to the Emden equation (English)
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7 June 2012
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The author considers weak stable solutions of the equation \(-\Delta u =e^u\) in the unit ball of the space \({\mathbb R}^n\). The singular set \(S\) of a solution \(u\) contains those points where \(u\) is not bounded. It is proved that the dimension of \(S\) does not exceed \(n-10\).
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supercritical elliptic equation
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regularity of solution
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