## Abstract

The following Dirichlet problem is considered, where Ω is either an annulus or a ball in R^{N} and p > 1. The uniqueness of radial solutions having exactly k-1 nodes is shown for the following cases: Ω is a sufficiently thin annulus; Ω is a certain small ball, N ≥ 4 and 1 < p < N/(N-2); Ω is the unit ball, N =3 and 1 < p ≤ 3; Ω is any annulus or any ball, but p >1 is sufficiently close to 1 and N = 3, 5 or 7.

Original language | English |
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Pages (from-to) | 154-170 |

Number of pages | 17 |

Journal | Journal of Mathematical Analysis and Applications |

Volume | 439 |

Issue number | 1 |

DOIs | |

Publication status | Published - 2016 Jul 1 |

## Keywords

- Modified Bessel functions
- Scalar field equation
- Sign-changing radial solutions
- Uniqueness

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