On the uniqueness of singular solutions for a Hardy-Sobolev equation

Jann Lgng Chern, Ygng Li Tang, Chuan Jen Chyan, Yi Jung Chen

研究成果: 雜誌貢獻期刊論文同行評審

摘要

In this paper, we consider the positive singular solutions for the following Hardy-Sobolev equation Δu+up+u 2*(s)-1/|x|s=0 in B1\{0}, where p > 1, 0 < s < 2, 2*(s) = 2(n-s)/n-2, n ≥ 3 and B1 is the unit ball in Rn centered at the origin. We prove that if p > ""+1 then such solution is unique.

原文英語
頁(從 - 到)123-128
頁數6
期刊Discrete and Continuous Dynamical Systems - Series S
發行號SUPPL.
出版狀態已發佈 - 2013 十一月
對外發佈

ASJC Scopus subject areas

  • 分析
  • 離散數學和組合
  • 應用數學

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