Inequality Estimates of an Inhomogeneous Semilinear Biharmonic Equation in Entire Space  

作　　者：Fen YANG 

机构地区：[1]Department of Mathematics and Statistics, Wuhan University of Science and Technology

出　　处：《Acta Mathematicae Applicatae Sinica》2019年第4期812-819,共8页应用数学学报（英文版）

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

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,p>1,n≥5 and 0≡f∈C(R^n)is a given nonnegative function.We obtain different inequality estimates of Eq.(*),with which the necessary conditions of existence on f and p are also established.In this paper,we consider the inequality estimates of the positive solutions for the inhomogeneous biharmonic equation■where ?~2 is the biharmonic operator,p>1,n≥5 and 0≡f∈C(■)is a given nonnegative function.We obtain different inequality estimates of Eq.(*),with which the necessary conditions of existence on f and p are also established.

关 键 词：INHOMOGENEOUS BIHARMONIC equation POSITIVE solution INEQUALITY ESTIMATES 

分 类 号：O175.2[理学—数学]