In this paper, we get the existence results of the nontrivial weak solution of the following eigenvalue problem of quasilinear elliptic systems
for , and
where satisfy the natural growth conditions. It seems that this kind of problem has never been dealt with before.
Cite this article
Gongbao Li, Eigenvalue Problems of Quasilinear Elliptic Systems on . Rev. Mat. Iberoam. 3 (1987), no. 3, pp. 371–399DOI 10.4171/RMI/55