TY - JOUR T1 - Neumann Problem of Quasilinear Elliptic Equations with Limit Nonlinearity in Boundary Condition JO - Journal of Partial Differential Equations VL - 3 SP - 265 EP - 288 PY - 2001 DA - 2001/08 SN - 14 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5485.html KW - Neumann problem KW - quasilinear elliptic equation AB - This paper is concerned with the existence of solutions to the equation D_j(a^{ij}(x,u)D_i,u)-\frac{1}{2}D_sa^{ij}(x,u)D_iuD_ju + λ u = 0 on a bounded domain under the Neumann boundary condition a{ij}(x,u)D_iuϒ_j = lul^{\frac{2}{n-2}}u.