TY - JOUR T1 - On the Eigen-value Problem for Elliptic Systems Under Natural Growth Condition: the Super Limit Cases AU - Xu Haixiang, Yang Linge JO - Journal of Partial Differential Equations VL - 4 SP - 51 EP - 58 PY - 1992 DA - 1992/05 SN - 5 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5753.html KW - Natural growth condition KW - super Sobolev imbedding exponent KW - super suitable smallness condition AB - In this paper, we consider a quasilinear elliptic eigenvalue problem. For the unbounded coefficients, we allow the eigen exponent greater than the Sobolev imbedding critical exponent; for the equations, we also allow the coefficient of suitable smallness condition greater than 1.