MILD INTEGRABILITY CONDITIONS FOR GLOBAL-SOLUTIONS OF AN ELLIPTIC EQUATION

被引：0

作者：

TRENCH, WF ^{[1
]}

机构：

[1] TRINITY UNIV,DEPT MATH,SAN ANTONIO,TX 78212

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1992年 / 39卷 / 01期

关键词：

SEMILINEAR; ELLIPTIC; RADIALLY SYMMETRICAL; EMDEN-FOWLER; ASYMPTOTIC BEHAVIOR; MILD INTEGRABILITY ASSUMPTIONS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is shown that the equation DELTA-u + p(Absolute value of x)u(gamma) = 0 has positive radially symmetric solutions on a given exterior domain E(a) = {x is-an-element-of R(n)\Absolute value of x > a greater-than-or-equal-to 0} which behave asymptotically (as Absolute value of x --> infinity) like constant multiples of the radial solutions v1 = 1 and v2 = Absolute value of x(-n + 2) of DELTA-v = 0, provided that p = p(t) satisfies certain integrability conditions on (a, infinity). The integrability conditions are weaker than those usually imposed.

引用

页码：39 / 48

页数：10

共 15 条

[1] AN ODE APPROACH TO THE EXISTENCE OF POSITIVE SOLUTIONS FOR SEMI-LINEAR PROBLEMS IN RN [J].