Existence and infinite multiplicity for an inhomogeneous semilinear elliptic equation on Rn

被引：43

作者：

Bae, S ^{[1
]}

Ni, WM

机构：

[1] Yonsei Univ, Dept Math, Seoul 120749, South Korea

[2] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA

来源：

MATHEMATISCHE ANNALEN | 2001年 / 320卷 / 01期

关键词：

D O I：

10.1007/PL00004468

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The existence/nonexistence question is studied for the inhomogeneous elliptic equation Deltau + u(p) + muf(x) = 0 in R-n. In particular, we establish that the above equation possesses infinitely many positive entire solutions for small mu > 0 provided that n > 11, p is large enough, and the locally Holder continuous function f satisfies suitable decay conditions at oo.

引用

页码：191 / 210

页数：20

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