Structure of large positive solutions of some semilinear elliptic problems where the nonlinearity changes sign

Zongming Guo

DOI: http://dx.doi.org/10.12775/TMNA.2001.023

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 $\lambda \to \infty$.

Keywords


Large positive solutions; flat core; sweeping out results

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