Inequality Estimates of an Inhomogeneous Semilinear Biharmonic Equation in Entire Space

作     者：Fen YANG Fen YANG

作者机构：Department of Mathematics and Statistics Wuhan University of Science and Technology 

出 版 物：《Acta Mathematicae Applicatae Sinica》 (应用数学学报（英文版）)

年 卷 期：2019年第35卷第4期

页      面：812-819页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by the National Natural Science Foundation of China(No.10901126 and 11201355) 

主　　题：inhomogeneous biharmonic equation positive solution inequality estimates 

摘      要：In this paper,we consider the inequality estimates of the positive solutions for the inhomogeneous biharmonic equation■-△^2u+u^p+f(x)=0 in R^n where △^2 is the biharmonic operator,p1,n≥5 and 0≡f∈C(R^n)is a given nonnegative *** obtain different inequality estimates of Eq.(*),with which the necessary conditions of existence on f and p are also established.