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Existence of solutions for semi-linear equations involving thep-Laplacian: the non coercive case

✍ Scribed by Isabeau Birindelli; Françoise Demengel


Publisher
Springer
Year
2004
Tongue
English
Weight
230 KB
Volume
20
Category
Article
ISSN
0944-2669

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Sharp conditions for the existence of si
✍ Yūki Naito; Satoshi Tanaka 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 348 KB

We consider the boundary value problem involving the one-dimensional p-Laplacian where p > 1. We establish sharp conditions for the existence of solutions with prescribed numbers of zeros in terms of the ratio f (s)/s p-1 at infinity and zero. Our argument is based on the shooting method together w