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Exact multiplicity of positive solutions for concave–convex and convex–concave nonlinearities

✍ Scribed by Korman, Philip; Li, Yi


Book ID
126219371
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
439 KB
Volume
257
Category
Article
ISSN
0022-0396

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Exact multiplicity results for a p-Lapla
✍ Idris Addou; Shin-Hwa Wang 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 278 KB

We study the exact number of positive solutions of a two-point Dirichlet boundary-value problem involving the p-Laplacian operator. We consider the case p = 2 as well as the case p ¿ 1, when the nonlinearity f satisÿes f(0) = 0 and has two distinct simple positive zeros and such that f changes sign