THE BLOW UP LOCUS OF NONLINEAR ELLIPTIC EQUATIONS WITH SUPERCRITICAL EXPONENTS

• 来源期刊: 偏微分方程（英文版）
• 学科: 数学
• 关键词: Blow up locus Hausdorff dimension monotonicity inequality.
• 年，卷（期）: 2004,（3）
• 页码范围: 264-282
• 页数: 19页
• 分类号: O175.25
• 语种: 英文

摘要

We consider the compactness theorem for the positive solutions of theequation △u + h1tuα + h2uβ = 0 in ΩсRn and obtain the measure estimate of the blow up set for positive smooth solutions {ui}of the above equation with {‖ui‖H1(Ω) + ‖ui‖Lα+1(Ω) + ‖ui‖Lβ+1(Ω)} bounded.