Liouville Theorems for Generalized Harmonic Functions |
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| Authors: | Kheyfits Alexander I |
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| Institution: | (1) Bronx Community College of the City University of New York, University Avenue, West 181st Street, Bronx, NY, 10453, U.S.A. |
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| Abstract: | Each nonzero solution of the stationary Schrödinger equation  u(x)–c(r)u(x)=0 in R
n
with a nonnegative radial potential c(r) must have certain minimal growth at infinity. If r
2
c(r)=O(1), r  , then a solution having power growth at infinity, is a generalized harmonic polynomial. |
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| Keywords: | Liouville theorem stationary Schrö dinger equation generalized harmonic functions |
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