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arxiv: 1611.09183 · v1 · pith:GDAOGNVNnew · submitted 2016-11-28 · 🧮 math.AP · math.DG

Nonexistence results for elliptic differential inequalities with a potential in bounded domains

classification 🧮 math.AP math.DG
keywords potentialboundeddifferentialdomainsellipticinequalitiesnonexistencebehavior
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In this paper we are concerned with a class of elliptic differential inequalities with a potential in bounded domains both of $\mathbf{R}^m$ and of Riemannian manifolds. In particular, we investigate the effect of the behavior of the potential at the boundary of the domain on nonexistence of nonnegative solutions.

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