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

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

2004-04-02

arxiv.org/abs/math/0404035v1

Mathematics

Analysis of PDEs

13 pages, no figure

Scientific paper

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 $\lambda\in (0, \lambda_2)$, $\lambda_2$ is the second positive eigenvalue of the quasilinear elliptic equation of Caffarelli-Kohn-Nirenberg type.

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