In this paper we characterize the set of all right-hand sides h ∈ C for which the boundary value problem . Here 1 < p < 2, and λ 1 > 0 is the first eigenvalue of the p-Laplacian. In particular, we prove that for hϕ 1 = 0 this problem is solvable and the energy functional is unbounded from below.
Generic Fredholm alternative-type results for the one dimensional p-Laplacian
✍ Scribed by Pavel Drábek; Petr Girg; Raul Manásevich
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 2001
- Tongue
- English
- Weight
- 329 KB
- Volume
- 8
- Category
- Article
- ISSN
- 1021-9722
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