\(W^{2,1+\varepsilon}\) estimates for the Monge-Ampère equation (Q390753)
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scientific article; zbMATH DE number 6243617
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(W^{2,1+\varepsilon}\) estimates for the Monge-Ampère equation |
scientific article; zbMATH DE number 6243617 |
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\(W^{2,1+\varepsilon}\) estimates for the Monge-Ampère equation (English)
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8 January 2014
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The author studies strictly convex Alexandrov solutions of the real Monge-Ampère equation with right hand side a measurable, positive and bounded away from zero and infinity function. The main result is interior \(W^{2,1+\epsilon}\) regularity of the generalized solutions.
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Monge-Ampère equation
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Sobolev regularity
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Alexandrov solution
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Gehring lemma
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Monge-Ampère section
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fully non linear elliptic equations
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