Reilly-Type Inequalities for the First Eigenvalue of p-Laplacian of Submanifolds in Minkowski Spaces
Sign Up to like & getrecommendations! Published in 2017 at "Mediterranean Journal of Mathematics"
DOI: 10.1007/s00009-017-1005-8
Abstract: In this paper, we give an upper bound for the first eigenvalue of the p-Laplacian of Finsler submanifolds in Minkowski spaces. Our results extend those of Wu (Ann Glob Anal Geom 29:95–102, 2006), and Du… read more here.
Keywords: first eigenvalue; minkowski spaces; eigenvalue laplacian; reilly type ... See more keywords
On k-diametral point configurations in Minkowski spaces
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DOI: 10.1016/j.disc.2021.112700
Abstract: The structure of $k$-diametral point configurations in Minkowski $d$-space is shown to be closely related to the properties of $k$-antipodal point configurations in $\mathbb{R}^d$. In particular, the maximum size of $k$-diametral point configurations of Minkowski… read more here.
Keywords: diametral point; configurations minkowski; minkowski spaces; point ... See more keywords
Some Remarks on Harmonic Functions in Minkowski Spaces
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DOI: 10.3390/math7020196
Abstract: We prove that in Minkowski spaces, a harmonic function does not necessarily satisfy the mean value formula. Conversely, we also show that a function satisfying the mean value formula is not necessarily a harmonic function.… read more here.
Keywords: harmonic functions; minkowski spaces; mean value; harmonic function ... See more keywords