TY - JOUR
T1 - Multiplicity of positive solutions for semilinear elliptic systems
AU - Hsu, Tsing San
PY - 2013
Y1 - 2013
N2 - We study the effect of the coefficient h(x) of the critical nonlinearity on the number of positive solutions for semilinear elliptic systems. Under suitable assumptions for f(x), g(x), and h(x), we should prove that for sufficiently small ,>0, there are at least k+1 positive solutions of the semilinear elliptic systems -Δu=f(x)|u|q-2u+(α/ (α+β))h(x)|u|α-2u|v|β, -Δv=g(x)|v|q-2v+(β/(α+β))h(x)|u| α|v|β-2v, where 0εΩ⊂R N is a bounded domain, α>1, β>1, and N/(N-2)4.
AB - We study the effect of the coefficient h(x) of the critical nonlinearity on the number of positive solutions for semilinear elliptic systems. Under suitable assumptions for f(x), g(x), and h(x), we should prove that for sufficiently small ,>0, there are at least k+1 positive solutions of the semilinear elliptic systems -Δu=f(x)|u|q-2u+(α/ (α+β))h(x)|u|α-2u|v|β, -Δv=g(x)|v|q-2v+(β/(α+β))h(x)|u| α|v|β-2v, where 0εΩ⊂R N is a bounded domain, α>1, β>1, and N/(N-2)4.
UR - http://www.scopus.com/inward/record.url?scp=84877272019&partnerID=8YFLogxK
U2 - 10.1155/2013/746380
DO - 10.1155/2013/746380
M3 - 文章
AN - SCOPUS:84877272019
SN - 1085-3375
VL - 2013
JO - Abstract and Applied Analysis
JF - Abstract and Applied Analysis
M1 - 746380
ER -