## Abstract

Let Ω ⊂ R^{n}(n≥7) be a bounded domain with smooth boundary. For λ > 0, let uλ be a solution of-Δu + λu = u n+2/n-2 in Ω, u > 0 in Ω, ∂u/∂v = 0 on ∂Ω, whose energy is less than the first critical level. Here we study the blow up points and the L∞-estimates of uλ as λ → ∞. We show that the blow up points are the critical points of the mean curvature on the boundary.

Original language | English (US) |
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Pages (from-to) | 41-68 |

Number of pages | 28 |

Journal | Differential and Integral Equations |

Volume | 8 |

Issue number | 1 |

State | Published - Jan 1995 |

## All Science Journal Classification (ASJC) codes

- Analysis
- Applied Mathematics

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