We let be the axially symmetric bounded domains which satisfy some suitable conditions, then the ground-state solutions of the semilinear elliptic equation in are nonaxially symmetric and concentrative on one side. Furthermore, we prove the necessary and sufficient condition for the symmetry of ground-state solutions.
"Symmetry and concentration behavior of ground state in axially symmetric domains." Abstr. Appl. Anal. 2004 (12) 1019 - 1030, 28 December 2004. https://doi.org/10.1155/S1085337504404023