MINIMAL POSITIVE ENTIRE SOLUTION OF SEMILINEAR ELLIPTIC EQUATION

• 来源期刊: 偏微分方程（英文版）
• 学科: 数学
• 关键词: Super and sub-solution method minimal positive solution singular semilinear elliptic equation.
• 年，卷（期）: 2005,（2）
• 页码范围: 141-148
• 页数: 8页
• 分类号: O175.25.
• 语种: 英文

摘要

In this paper, the singular semilinear elliptic equation △u + q(x)uα + p(x)u-β - h(x)uγ＝ 0, x ∈ RN, N ∞ 3,is studied via the super and sub-solution method, where △ is the Laplacian operator,α∈ [0, 1), β＞ 0, and γ≥ i are constants. Under a set of suitable assumptions on functions q(x), p(x) and h(x), it is proved that there exists for the equation one and only one minimal positive entire solution.