## Abstract

The problem of the existence and nonexistence of entire, positive solutions to the uniformly elliptic, semilinear equation D_{i}[a_{ij}(x)Dju]-k(x)u + K(x)U^{p} = 0 in R^{n}, where p > 1, is studied. A limiting case when K(x) is negative and has quadratic decay at infinity is also treated.

Original language | English (US) |
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Pages (from-to) | 219-225 |

Number of pages | 7 |

Journal | Proceedings of the American Mathematical Society |

Volume | 95 |

Issue number | 2 |

DOIs | |

State | Published - Oct 1985 |

## ASJC Scopus subject areas

- General Mathematics
- Applied Mathematics

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