We describe all nontrivial nonnegative solutions to the problem $-\Delta u=au^{(n+2)/(n-2)}$ in $H,\ \partial u/\partial\nu=bu^{n/(n-2)}$ on $\partial H$, where $H$ is a half-space of ${\bf R}^n\ (n\geq3)$.

Chipot, M; Shafrir, I; Fila, M (1996). *On the solutions to some elliptic equations with nonlinear Neumann boundary conditions.* Advances in Differential Equations, 1(1):91-110.

## Abstract

We describe all nontrivial nonnegative solutions to the problem $-\Delta u=au^{(n+2)/(n-2)}$ in $H,\ \partial u/\partial\nu=bu^{n/(n-2)}$ on $\partial H$, where $H$ is a half-space of ${\bf R}^n\ (n\geq3)$.

## Citations

## Additional indexing

Item Type: | Journal Article, refereed, original work |
---|---|

Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |

Dewey Decimal Classification: | 510 Mathematics |

Uncontrolled Keywords: | nonexistence; semilinear elliptic equation; half space; moving plane method |

Language: | English |

Date: | 1996 |

Deposited On: | 02 Aug 2010 09:22 |

Last Modified: | 05 Apr 2016 13:27 |

Publisher: | Khayyam |

ISSN: | 1079-9389 |

Official URL: | http://www.aftabi.com/ADE/ade01.html |

Related URLs: | http://www.zentralblatt-math.org/zbmath/search/?q=an%3A0839.35042 |

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