L^p-subharmonic functions in R^n
We prove that if u is an $L^p$-subharmonic function defined outside a compact set in $\mathbb{R}^n$, it is bounded above near infinity, in particular, if the subharmonic function u is in $L^p(\mathbb{R}^n)$, $1\leq p<\infty $, then u is non-positive. Some of the consequences of this property...
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| Format: | Article |
| Language: | English |
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Texas State University
2016-12-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2016/322/abstr.html |