The uniqueness for a superlinear eigenvalue problem
✍ Scribed by P. Drábek
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 164 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0893-9659
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📜 SIMILAR VOLUMES
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 uniquen
Let L p u = d 4 u/dx 4 -d/dx p 1 du/dx + p 2 u u 0 = u 0 = u 1 = u 1 = 0 where p ∈ L 2 0 1 × L 2 0 1 . We show that for near constant coefficients, if p is even about 1/2 and L p and L p have the same eigenvalues, then knowledge of the first coefficient uniquely determines the second up to average v