Existence results for a superlinear singular equation of Caffarelli-Kohn-Nirenberg type

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In this paper, using Mountain Pass Lemma and Linking Argument, we prove the existence of nontrivial weak solutions for the Dirichlet problem for the superlinear equation of Caffarelli-Kohn-Nirenberg type in the case where the parameter $λ\in (0, λ_2)$, $λ_2$ is the second positive eigenvalue of the quasilinear elliptic equation of Caffarelli-Kohn-Nirenberg type.
13 pages, no figure

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Analysis of PDEs, 35J60

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http://salesiana.dossiersoluciones.com/handle/123456789/70693

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0404035
 http://arxiv.org/abs/math/0404035

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arXiv