Leonelo Iturriaga

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Keywords: Shooting method Positive solutions p-Laplacian Flat core Upper and lower solutions method a b s t r a c t We study both existence and the exact number of positive solutions of the problem ðP k Þ k ju 0 j pÀ2 u 0 0 þ f ðuÞ ¼ 0 in ð0; 1Þ; uð0Þ ¼ uð1Þ ¼ 0; 8 < : where k is a positive parameter, p > 1, the nonlinearity f is positive in (0,1), and f(More)
Recommended by Shujie Li We study the existence of positive solutions for a class of degenerate nonlinear elliptic equations with gradient dependence. For this purpose, we combine a blowup argument, the strong maximum principle, and Liouville-type theorems to obtain a priori estimates. This is an open access article distributed under the Creative Commons(More)
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