Structure of large positive solutions of some semilinear elliptic problems where the nonlinearity changes sign
Keywords
Large positive solutions, flat core, sweeping out resultsAbstract
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 $\lambda \to \infty$.Downloads
Published
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 September 2001. Vol. 18, no. 1, pp. 41 - 71. [Accessed 20 April 2024].
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