Abstract
It is proved in this article that any generalized solution of a sufficiently general class of elliptic-type differential inequalities in ℝn that is non-negative almost everywhere in ℝn and vanishes almost everywhere on an open set Ω ⊂ ℝn is trivial in ℝn.
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Maksimova, N.O. On Non-Negative Elliptic-Type Differential Inequalities in ℝn, Vanishing Almost Everywhere on Some Open Subset in ℝn . Journal of Mathematical Sciences 120, 1407–1410 (2004). https://doi.org/10.1023/B:JOTH.0000016057.77747.ac
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DOI: https://doi.org/10.1023/B:JOTH.0000016057.77747.ac