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Über eine Koerzitivitätsungleichung in W m,po

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Abstract

Let G be a bounded open subset of Rn and let B be a Dirichlet bilinear form with bounded coefficients defined in G. If the generalized version of Gårding's inequality in Lp holds for all u of the Sobolev space W m,p0 (G), then we prove under additional assumptions that the form is uniformly elliptic in G and that for n=2 a root condition is satisfied. Further, we study the equivalence of some definitions of “properly elliptic”.

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  1. Mathematisches Institut der Universität München, Theresienstr. 39, D 8, München 2

    Christian G. Simader

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  1. Christian G. Simader
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Simader, C.G. Über eine Koerzitivitätsungleichung in W m,po . Manuscripta Math 9, 29–51 (1973). https://doi.org/10.1007/BF01320667

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  • DOI: https://doi.org/10.1007/BF01320667

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