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A PRIOR ESTIMATE AND EXISTENCE OF POSITIVE SOLUTIONS OF SEMILINEAR ELLIPTIC EQUATION WITH THE THIRD BOUNDARY VALUE PROBLEM 被引量:5

A PRIOR ESTIMATE AND EXISTENCE OF POSITIVE SOLUTIONS OF SEMILINEAR ELLIPTIC EQUATION WITH THE THIRD BOUNDARY VALUE PROBLEM
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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 =0, where operator, nonlinear function f(u) increase in the form of up, , We get a prior estimate and existence of positive solutions of above equation. 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 =0, where operator, nonlinear function f(u) increase in the form of up, , We get a prior estimate and existence of positive solutions of above equation.
出处 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2001年第4期388-398,共11页 系统科学与复杂性学报(英文版)
基金 This research is supported by the National Natural Science Foundation of China.
关键词 ELLIPTIC equation POSITIVE solution prior ESTIMATE existence. Elliptic equation, positive solution, prior estimate, existence.
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