期刊信息
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- 刊名: 河北师范大学学报(自然科学版)Journal of Hebei Normal University (Natural Science)
- 主办: 河北师范大学
- ISSN: 1000-5854
- CN: 13-1061/N
- 中国科技核心期刊
- 中国期刊方阵入选期刊
- 中国高校优秀科技期刊
- 华北优秀期刊
- 河北省优秀科技期刊
Existence of Entire Positive Solutions to a Kind ofSemilinear Elliptic Equations
摘要/Abstract
摘要:
研究了如下方程-u =p(x)uα/sup>+q(x)u-β-h(x)γ的全局正解的存在性.其中:x∈RN, N≥3, α∈[ 0,1), β>0, γ≥1.对于任意预先给定的正数,应用上下解方法证明了在适当条件下此方程全局正解存在,并在无穷远处趋于此正数.
Abstract:
A kind of semilinear elliptic equation-u =p(x)uα+q(x)u-β-h(x)γ is concerned , where x∈RN, N≥3, α∈[ 0,1), β>0, γ≥1.Some appropriate conditions are given with the aid of sup and subsolution method , which guarantee the existence of positive solutions that tend to any positive constant prescribed in advance .