ON THE EXISTENCE OF POSITIVE SOLUTIONS FOR SEMILINEAR ELLIPTIC-EQUATIONS IN THE ANNULUS

被引：197
作者：
WANG, HY
机构：
[1] Department of Mathematics, Michigan State University, East Lansing
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 1994年 / 109卷 / 01期
关键词：
D O I：
10.1006/jdeq.1994.1042
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the existence of positive radial solutions of DELTAu+g(Absolute value of x) f(u) = 0 in annuli with Dirichlet (Dirichlet/Neumann) boundary conditions. We prove that the problems have positive radial solutions on any annulus if f is sublinear at 0 and infinity. (C) 1994 Academic Press, Inc.
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页码：1 / 7
页数：7
相关论文
共 10 条
[1]   SEMILINEAR ELLIPTIC PROBLEMS IN ANNULAR DOMAINS [J].
BANDLE, C ;
KWONG, MK .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1989, 40 (02) :245-257
[2]   NONLINEAR ELLIPTIC PROBLEMS IN ANNULAR DOMAINS [J].
BANDLE, C ;
COFFMAN, CV ;
MARCUS, M .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1987, 69 (03) :322-345
[3]  
COFFMAN CV, 1989, ARCH NATIONAL MECH A, V108
[4]   EXISTENCE OF POSITIVE RADIAL SOLUTIONS FOR SEMILINEAR ELLIPTIC-EQUATIONS IN THE ANNULUS [J].
GARAIZAR, X .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1987, 70 (01) :69-92
[5]   SYMMETRY AND RELATED PROPERTIES VIA THE MAXIMUM PRINCIPLE [J].
GIDAS, B ;
NI, WM ;
NIRENBERG, L .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1979, 68 (03) :209-243
[6]   REMARKS ON SOME QUASILINEAR ELLIPTIC EQUATIONS [J].
KAZDAN, JL ;
WARNER, FW .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1975, 28 (05) :567-597
[7]   ON THE EXISTENCE OF POSITIVE RADIAL SOLUTIONS FOR NONLINEAR ELLIPTIC-EQUATIONS IN ANNULAR DOMAINS [J].
LIN, SS .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1989, 81 (02) :221-233
[8]   ON THE EXISTENCE OF POSITIVE SOLUTIONS OF SEMI-LINEAR ELLIPTIC-EQUATIONS [J].
LIONS, PL .
SIAM REVIEW, 1982, 24 (04) :441-467
[9]   UNIQUENESS AND NONUNIQUENESS FOR POSITIVE RADIAL SOLUTIONS OF DELTA-U + F(U, R) = 0 [J].
NI, WM ;
NUSSBAUM, RD .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1985, 38 (01) :67-108
[10]  
WANG H, IN PRESS EXISTENCE P
1