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文章基本信息

  • 标题:Super and subsolutions for elliptic equations on all of ℝn
  • 本地全文:下载
  • 作者:G. A. Afrouzi ; H. Ghasemzadeh
  • 期刊名称:International Journal of Mathematics and Mathematical Sciences
  • 印刷版ISSN:0161-1712
  • 电子版ISSN:1687-0425
  • 出版年度:2002
  • 卷号:32
  • 期号:1
  • 页码:41-46
  • DOI:10.1155/S0161171202110428
  • 出版社:Hindawi Publishing Corporation
  • 摘要:

    By construction sub and supersolutions for the following semilinear elliptic equation − △ u ( x ) = λ g ( x ) f ( u ( x ) ) , x ∈ ℝ n which arises in population genetics, we derive some results about the theory of existence of solutions as well as asymptotic properties of the solutions for every n and for the function g : ℝ n → ℝ such that g is smooth and is negative at infinity.

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