The existence of bounded harmonic functions on C-H manifolds
1996 ◽
Vol 53
(2)
◽
pp. 197-207
◽
Keyword(s):
Let M be a Cartan-Hadamard manifold of dimension n (n ≥ 2). Suppose that M satisfies for every x > M outside a compact set an inequality:where b, A are positive constants and A > 4. Then M admits a wealth of bounded harmonic functions, more precisely, the Dirichlet problem of the Laplacian of M at infinity can be solved for any continuous boundary data on Sn−1(∞).
1985 ◽
Vol 26
(2)
◽
pp. 115-120
◽
2021 ◽
Vol 34
◽
pp. 85-99
2018 ◽
Vol 32
◽
pp. 30-41
Keyword(s):
1984 ◽
Vol 1984
(354)
◽
pp. 123-140
◽
1982 ◽
Vol 22
(1)
◽
pp. 175-190
1987 ◽
Vol 30
(3)
◽
pp. 471-477
◽
The Dirichlet Problem for the Slab with Entire Data and a Difference Equation for Harmonic Functions
2017 ◽
Vol 60
(1)
◽
pp. 146-153
◽