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

Benjin Xuan
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Abstract

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.

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Benjin Xuan. 2004-04-02. Existence results for a superlinear singular equation of Caffarelli-Kohn-Nirenberg type. https://arxiv.org/abs/math/0404035

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