### Abstract

For certain positive numbers μ and λ, we establish the multiplicity of solutions to the problem {-Δu = μ-u/|x|^{2} + λf(u) a.e. in Ω, u =0 on δ Ω, where Ω is a bounded open domain in ℝ (N ≥ 3) containing the origin with smooth boundary δ Ω, while f: ℝ → ℝ is continuous, superlinear at zero and sublinear at infinity.

Original language | English |
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Pages (from-to) | 2121-2126 |

Number of pages | 6 |

Journal | Proceedings of the American Mathematical Society |

Volume | 135 |

Issue number | 7 |

DOIs | |

Publication status | Published - Jul 1 2007 |

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### Keywords

- Multiple solutions
- Singular potential
- Sublinearity at infinity

### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics