On the existence of multiple solutions of nonhomogeneous elliptic equations involving critical Sobolev exponents

被引：24

作者：

Cao, DM

Zhou, HS

机构：

[1] Young Scientist Lab. of Math. Phys., Wuhan Inst. of Mathematical Sciences, Academia Sinica, Wuhan 430071

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 1996年 / 47卷 / 01期

关键词：

D O I：

10.1007/BF00917575

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let p = 2N/(N - 2), N greater than or equal to 3 be the limiting Sobolev exponent and Omega is an element of a bounded smooth domain. We show that for h is an element of H-1 (Omega), f satisfies some conditions then -Delta u = c(1)u(p-1) f(x,u) + h admits at least two positive solutions.

引用

页码：89 / 96

页数：8

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