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

Benjin Xuan

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

Analysis of PDEs 2007-05-23 v1

Authors: Benjin Xuan

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

Keywords

superlinear equation caffarelli-kohn-nirenberg type dirichlet problem weak solutions mountain pass lemma linking argument eigenvalue

Cite

@article{arxiv.math/0404035,
  title  = {Existence results for a superlinear singular equation of Caffarelli-Kohn-Nirenberg type},
  author = {Benjin Xuan},
  journal= {arXiv preprint arXiv:math/0404035},
  year   = {2007}
}

Comments

13 pages, no figure

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