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Existence of positive solutions for nonlinear singular boundary value system with p-Laplacian
- WANG Bao-he and SU Hua
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J4. 2007, 42(4):
50-57 .
doi:
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Abstract
(
2018 )
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The existence of positive solutions for a class of nonlinear singular boundary value systems with p-Laplacian is studied:(фp(u'i))'+ai(t)fi(u1,u2)=0, 0<t<1,αiфp(ui(0))-βiфp(u'i(0))=0, γiфp(ui(1))+δiфp(u'i(1))=0,(i=1,2) where фp(s)=|s|p-2s, p>1, (фp)-1=фq,1/p+1/q=1, αi>0, βi≥0, γi>0, δi≥0, i=1,2. fi are lower semi-continuous functions(i=1,2). By using the fixed-point theoremof cone expansion and compression of norm type, the existence of positive solutions for nonlinear singular boundary value system with p-Laplacian are obtained.