
Existence of positive solutions for nonlinear singular boundary value system with pLaplacian
 WANG Baohe and SU Hua

J4. 2007, 42(4):
5057 .
doi:

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The existence of positive solutions for a class of nonlinear singular boundary value systems with pLaplacian is studied:(ф_{p}(u'_{i}))'+a_{i}(t)f_{i}(u_{1},u_{2})=0, 0＜t＜1,α_{i}ф_{p}(u_{i}(0))β_{i}ф_{p}(u'_{i}(0))=0, γ_{i}ф_{p}(u_{i}(1))+δ_{i}ф_{p}(u'_{i}(1))=0,(i=1,2) where ф_{p}(s)=s^{p2}s, p>1, (ф_{p})^{1}=ф_{q},1/p+1/q=1, α_{i}＞0, β_{i}≥0, γ_{i}＞0, δ_{i}≥0, i=1,2. f_{i are lower semicontinuous functions(i=1,2). By using the fixedpoint theoremof cone expansion and compression of norm type, the existence of positive solutions for nonlinear singular boundary value system with pLaplacian are obtained.}