TY - JOUR AU - Guo, Zongming PY - 2001/09/01 Y2 - 2024/03/29 TI - Structure of large positive solutions of some semilinear elliptic problems where the nonlinearity changes sign JF - Topological Methods in Nonlinear Analysis JA - TMNA VL - 18 IS - 1 SE - DO - UR - https://apcz.umk.pl/TMNA/article/view/TMNA.2001.023 SP - 41 - 71 AB - Existence and uniqueness of large positive solutionsare obtained for some semilinear elliptic Dirichlet problemsin bounded smooth domains $\Omega$ with a large parameter $\lambda$.It is shown that the large positive solution has flat core. Thedistance of its flat core to the boundary $\partial \Omega$ isexactly measured as $\lambda \to \infty$. ER -