INSTABILITY OF NONNEGATIVE SOLUTIONS FOR A CLASS OF SEMIPOSITONE PROBLEMS

被引：19

作者：

BROWN, KJ ^{[1
]}

SHIVAJI, R ^{[1
]}

机构：

[1] MISSISSIPPI STATE UNIV,MISSISSIPPI STATE,MS 39762

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1991年 / 112卷 / 01期

关键词：

D O I：

10.2307/2048487

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the boundary value problem -DELTA-u(x) = lambda-f (u(x)), x member-of OMEGA Bu(x) = 0, x member-of partial-OMEGA where OMEGA is a bounded region in R(N) with smooth boundary, Bu = alpha-h(x)u + (1 - alpha)partial u/partial n where alpha member-of [0, 1] h: partial OMEGA --> R+ with h = 1 when alpha = 1, lambda > 0, f is a smooth function with f(0) < 0 (semipositone), f'(u) > 0 for u > 0 and f"(u) greater-than-or-equal-to 0 for u > 0. We prove that every nonnegative solution is unstable.

引用

页码：121 / 124

页数：4

共 6 条

[1]

BROWN KJ, 1990, J DIFFER EQUATIONS, V3, P201

[2]

BROWN KJ, 1989, J DIFFER EQUATIONS, V2, P541

[3] NON-NEGATIVE SOLUTIONS FOR A CLASS OF RADIALLY SYMMETRIC NON-POSITONE PROBLEMS [J].