Conservation Law for a Fourth Order Elliptic System in Supercritical Dimensions

Abstract

In this short note, we extend the conservation law of Lamm–Rivière [Comm. PDEs 2008] for a fourth order elliptic system to supercritical dimensions, under certain Lorentz–Sobolev integrability assumptions on the associated coefficient functions.

Keywords

Conservation law / Lorentz–Sobolev embedding / supercritical dimension / 35J48 / 58E20

References

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Peking University

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