Positive solutions for singular $\phi-$Laplacian BVPs on the positive half-line

S. Djebali, ENS, Lab. EDP & HM, Kouba, Algiers, Algeria
O. Saifi, Algiers University, Algiers, Algeria

E. J. Qualitative Theory of Diff. Equ., No. 56. (2009), pp. 1-24.

Abstract: In this work, we are concerned with the existence of positive solutions for a $\phi$ Laplacian boundary value problem on the half-line. The results are proved using the fixed point index theory on cones of Banach spaces and the upper and lower solution technique. The nonlinearity may exhibit a singularity at the origin with respect to the solution. This singularity is treated by regularization and approximation together with compactness and sequential arguments.

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