A Concentration-Compactness Lemma with Applications to Singular Eigenvalue Problems

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Abstract

Let Ω⊆RN be any open set. We study the nonlinear eigenvalue problem -Δpu=λV(x)up-2u, u∈D1, p0(Ω), where 1

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Smets, D. (1999). A Concentration-Compactness Lemma with Applications to Singular Eigenvalue Problems. Journal of Functional Analysis, 167(2), 463–480. https://doi.org/10.1006/jfan.1999.3461

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