Symmetry properties of positive solutions of elliptic equations in an infinite sectorial cone
1992 ◽
Vol 122
(1-2)
◽
pp. 137-160
Keyword(s):
SynopsisWe prove symmetry properties of positive solutions of semilinear elliptic equations Δu + f(u) = 0 with Neumann boundary conditions in an infinite sectorial cone. We establish that any positive solution u of such equations in an infinite sectorial cone ∑α in ℝ3 is spherically symmetric if the amplitude α of ∑α is not greater than π.
2003 ◽
Vol 55
(1-2)
◽
pp. 167-186
◽
2009 ◽
Vol 51
(2)
◽
pp. 367-383
◽
2013 ◽
Vol 287
(4)
◽
pp. 374-397
◽