Multiple positive solutions of semilinear elliptic equations involving concave and convex nonlinearities in RN

被引：3

作者：

Lin, Huei-li ^{[1
]}

机构：

[1] Chang Gung Univ, Dept Nat Sci, Ctr Gen Educ, Tao Yuan 333, Taiwan

来源：

BOUNDARY VALUE PROBLEMS | 2012年

关键词：

semilinear elliptic equations; concave and convex; positive solutions; CONCENTRATION-COMPACTNESS PRINCIPLE; EXISTENCE; CALCULUS;

D O I：

10.1186/1687-2770-2012-24

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we investigate the effect of the coefficient f(z) of the sub-critical nonlinearity. For sufficiently large lambda > 0, there are at least k + 1 positive solutions of the semilinear elliptic equations {(-Delta nu + lambda nu = f(z)nu p-1 + h(z)nu q-1 in RN;)(nu is an element of H1(RN),) where 1 <= q < 2 < p < 2* = 2N/(N - 2) for N >= 3.

引用

页码：1 / 17

页数：17

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