TY - JOUR T1 - Uniform Estimates and Multisolvability of a Semilinear Elliptic Equation AU - Qianzhong Ou JO - Journal of Partial Differential Equations VL - 3 SP - 265 EP - 272 PY - 2007 DA - 2007/08 SN - 20 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5307.html KW - Semilinear elliptic equation KW - uniform estimates KW - multisolvability AB -

In this paper, the author gives the uniform estimates for the solutions of the semilinear elliptic equation Δu+λe^u = 0 with zero Dirichlet boundary condition, and then derive the uniqueness of the nonminimal solution assuming some conditions satisfied.