Structure of large positive solutions of some semilinear elliptic problems where the nonlinearity changes sign
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Large positive solutions, flat core, sweeping out resultsAbstrakt
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 $\lambda \to \infty$.Pobrania
Opublikowane
2001-09-01
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1.
GUO, Zongming. Structure of large positive solutions of some semilinear elliptic problems where the nonlinearity changes sign. Topological Methods in Nonlinear Analysis [online]. 1 wrzesień 2001, T. 18, nr 1, s. 41–71. [udostępniono 22.7.2024].
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