Abstract
"We consider an eigenvalue problem for the polyharmonic operator, with overdetermined boundary conditions. We give radial solutions on balls and those solutions are expressed by the mean of Bessel functions."
Subject
Computer Science Applications,General Mathematics
Reference10 articles.
1. "[1] A. Bennett, Symmetry in an overdetermined fourth order elliptic boundary value problem, SIAM J. Math. Anal. 17 (1986), 1354-1358.
2. [2] R. Dalmasso, Un probléme de symétrie pour une équation biharmonique, Ann. Fac. Sci. Toulouse 11 (1990), 45-53.
3. [3] R. Dalmasso, Symmetry problems for elliptic systems, Hokkaido Math. J. 25 (1996), 107-117.
4. [4] S. Khenissy and I. Zouhir, On an overdetermined eigenvalue problem with MEMS operato, To Appear in Maths reports.
5. [5] L.E. Payne and P.W. Schaefer, On overdetermined boundary value problems for the biharmonic operator, J. Math. Anal. Appl. 187 (1994), 598-616.