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arxiv: 1102.1646 · v3 · pith:RLTUU4FOnew · submitted 2011-02-08 · 🧮 math.AP

A priori bounds for weak solutions to elliptic equations with nonstandard growth

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keywords boundsellipticequationsgrowthnonstandardpriorisolutionsweak
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In this paper we study elliptic equations with a nonlinear conormal derivative boundary condition involving nonstandard growth terms. By means of the localization method and De Giorgi's iteration technique we derive global a priori bounds for weak solutions of such problems.

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