Stability for the solutions of \(div(| \nabla u| ^{p-2}\nabla u)=f\) with varying p (Q1101608)
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scientific article; zbMATH DE number 4046240
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability for the solutions of \(div(| \nabla u| ^{p-2}\nabla u)=f\) with varying p |
scientific article; zbMATH DE number 4046240 |
Statements
Stability for the solutions of \(div(| \nabla u| ^{p-2}\nabla u)=f\) with varying p (English)
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1987
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Der Autor untersucht Dirichletprobleme für Gleichungen vom Typ \(div(| \nabla u_ p|^{p-2}\nabla u_ p)=f(x)\), \(x\in G\) in beschränkten Gebieten G. Unter gewissen Voraussetzungen an die Daten wird insbesondere gezeigt, daß \(\lim_{p\to q,p<q}\int | \nabla u_ p(x)-\nabla u_ q(x)|^ p dx=0\).
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stability
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bounded domain
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Dirichlet problem
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data
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