GREEN’S FORMULA AND FLUX AT INFINITY ON A TREE WITHOUT POSITIVE POTENTIAL

Ibtesam Bajunaid (Saudi Arabia)

Received January 21, 2008

References:

[1] K. Abodayeh and V. Anandam, Dirichlet problem and Green’s formula on trees, Hiroshima Math. J. 35 (2005), 413-424. [2] V. Anandam and S. I. Othman, Flux in an infinite network, Mem. Fac. Sci. Eng. Shimane Univ. Ser. B Math. Sci. 38 (2005), 7-16. [3] I. Bajunaid, J. M. Cohen, F. Colonna and D. Singman, Trees as Brelot spaces, Adv. in Appl. Math. 30 (2003), 706-745. [4] E. Bendito, A. Carmona and A. M. Encinas, Solving boundary value problems on networks using equilibrium measures, J. Funct. Anal. 171 (2000), 155-176. [5] P. Cartier, Fonctions harmoniques sur un arbre, Sympos. Math. 9 (1972), 203-270. [6] M. Yamasaki, Discrete potentials on an infinite network, Mem. Fac. Sci. Shimane Univ. 13 (1979), 31-44.

Keywords and phrases: flux at infinity, Dirichlet problem.