### 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) |
---|---|

Pages (from-to) | 219-225 |

Number of pages | 7 |

Journal | Proceedings of the American Mathematical Society |

Volume | 95 |

Issue number | 2 |

DOIs | |

State | Published - 1985 |

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### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

### Cite this

**On the elliptic equation D _{i}[a_{ij}(x)Dju]-k(x)u + K(x)U^{p} = 0.** / Lin, Fang-Hua.

Research output: Contribution to journal › Article

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TY - JOUR

T1 - On the elliptic equation Di[aij(x)Dju]-k(x)u + K(x)Up = 0

AU - Lin, Fang-Hua

PY - 1985

Y1 - 1985

N2 - The problem of the existence and nonexistence of entire, positive solutions to the uniformly elliptic, semilinear equation Di[aij(x)Dju]-k(x)u + K(x)Up = 0 in Rn, where p > 1, is studied. A limiting case when K(x) is negative and has quadratic decay at infinity is also treated.

AB - The problem of the existence and nonexistence of entire, positive solutions to the uniformly elliptic, semilinear equation Di[aij(x)Dju]-k(x)u + K(x)Up = 0 in Rn, where p > 1, is studied. A limiting case when K(x) is negative and has quadratic decay at infinity is also treated.

UR - http://www.scopus.com/inward/record.url?scp=84968495734&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84968495734&partnerID=8YFLogxK

U2 - 10.1090/S0002-9939-1985-0801327-3

DO - 10.1090/S0002-9939-1985-0801327-3

M3 - Article

AN - SCOPUS:84968495734

VL - 95

SP - 219

EP - 225

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 2

ER -