Multiple solutions for a superlinear p -Laplacian equation with concave nonlinearities
✍ Scribed by Sun, Mingzheng
- Book ID
- 120458461
- Publisher
- John Wiley and Sons
- Year
- 2013
- Tongue
- English
- Weight
- 109 KB
- Volume
- 286
- Category
- Article
- ISSN
- 0025-584X
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📜 SIMILAR VOLUMES
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
In this paper we consider the following Schrödinger equation: where V is a periodic continuous real function with 0 in a gap of the spectrum σ (A), A := -∆ + V and the classical Ambrosetti-Rabinowitz superlinear condition on g is replaced by a general super-quadratic condition.