A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is `application/pdf`

.

##
###
A mean value property of elliptic equations with constant coefficients

1967
*
Proceedings of the American Mathematical Society
*

satisfies the M.V.P. (4) u(y0)/u0(yo) = I uexp(ky')dy / I u0exp(ky')dy J B(vo,r) / J B(V",r) ior each ball B(y0, r) whose closure lies in T(R). That is if and only if u satisfies the M.V.P. (2) for each £(x0, r) whose closure lies in R. Remark. A positive solution of (1) always exists if c -bAb'^0. Putting c = 0 and Mo = l we get, from Theorem 1, immediately

doi:10.1090/s0002-9939-1967-0218747-x
fatcat:mnbhrk5sxbhx7l5ehsa2xbqfki