Abstract
Existence and uniqueness of large positive solutions are obtained for some semilinear elliptic Dirichlet problems in bounded smooth domains $\Omega$ with a large parameter $\lambda$. It is shown that the large positive solution has flat core. The distance of its flat core to the boundary $\partial \Omega$ is exactly measured as $\lambda \to \infty$.
Citation
Zongming Guo. "Structure of large positive solutions of some semilinear elliptic problems where the nonlinearity changes sign." Topol. Methods Nonlinear Anal. 18 (1) 41 - 71, 2001.
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