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- W1559417872 abstract "This paper deals with the existence of positive solutions for the nonlinear system q(t)phi(p(t)u'_{i}(t)))'+f^{i}(t,textbf{u})=0,quad 0<t<1,quad i=1,2,...,n. This system often arises in the study of positive radial solutions of nonlinear elliptic system. Here $textbf{u}=(u_{1},...,u_{n})$ and $f^{i}, i=1,2,...,n$ are continuous and nonnegative functions, $p(t), q(t)hbox{rm :} [0,1]to (0,oo)$ are continuous functions. Moreover, we characterize the eigenvalue intervals for (q(t)phi(p(t)u'_{i}(t)))'+lambda h_{i}(t)g^{i} (textbf{u})=0, quad 0<t<1,quad i=1,2,...,n. The proof is based on a well-known fixed point theorem in cones." @default.
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- W1559417872 date "2007-07-13" @default.
- W1559417872 modified "2023-09-27" @default.
- W1559417872 title "Existence of positive solutions for nonlinear systems" @default.
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