ABSTRACT The goal of this paper is to investigate a parametric Dirichlet problem with -Laplacian and concave–convex nonlinearity. Denoting by the set of positive solutions of the problem corresponding to the parameter , we prove that the set is compact in the -topolgy. We also establish an upper semicontinuity and a Mosco convergence result for the multivalued mapping .

中文翻译：

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参数非线性狄利克雷问题解集的拓扑性质

摘要 本文的目标是研究具有 -Laplacian 和凹凸非线性的参数 Dirichlet 问题。用参数 对应的问题的正解集表示，我们证明该集在-拓扑中是紧的。我们还为多值映射建立了上半连续性和 Mosco 收敛结果。