Uniqueness results for the one-dimensional m-Laplacian considering superlinear nonlinearities

✍ Scribed by Justino Sánchez; Pedro Ubilla

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 138 KB
• Volume: 54
• Category: Article
• ISSN: 0362-546X
• DOI: 10.1016/s0362-546x(03)00118-4

✦ Synopsis

We study existence and uniqueness of positive solutions of the boundary value problem

where is a positive parameter, m ¿ 1, and f : [0; + ∞) → R is a continuous function which vanishes at most once in (0; + ∞). Assuming that f is superlinear at + ∞, we study its behavior near zero to obtain uniqueness results, which are proved using the shooting method.