A PRIOR ESTIMATE AND EXISTENCE OF POSITIVE SOLUTIONS OF SEMILINEAR ELLIPTIC EQUATION WITH THE THIRD

来源 :系统科学与复杂性学报（英文版） | 被引量 : 0次 | 上传用户：gzw39

【摘要】

：

This paper is to study semilinear elliptic equation Lu = f(u) in Ω, Ω RN being a smooth bounded domain, with the third boundary value conditions [αij u/ xi c

【作者】

：

GU Yonggeng LIU Tong

【机构】

：

Department of Mathematices,Hunan Normal University,Changsha 410081;Institute of Systems Science, Aca

【出处】

：

系统科学与复杂性学报（英文版）

【发表日期】

：

2001年4期

【关键词】

：

Elliptic equation positive solution prior estimate existence.

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This paper is to study semilinear elliptic equation Lu = f(u) in Ω, Ω RN being a smooth bounded domain, with the third boundary value conditions [αij u/ xi cos (n, xj)+increase in the form of up, p ∈ [1,N+2/N-2) We get a prior estimate and existence of positive solutions of above equation.

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A PRIOR ESTIMATE AND EXISTENCE OF POSITIVE SOLUTIONS OF SEMILINEAR ELLIPTIC EQUATION WITH THE THIRD

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