Liouville's theorem and the restricted mean property for Biharmonic Functions
We prove that under certain conditions, a bounded Lebesgue measurable function satisfying the restricted mean value for biharmonic functions is constant, in $mathbb{R}^n$ with $nge 3$.
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Format: | Article |
Language: | English |
Published: |
Texas State University
2004-04-01
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Series: | Electronic Journal of Differential Equations |
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Online Access: | http://ejde.math.txstate.edu/Volumes/2004/66/abstr.html |