Absence of Positive Eigenvalues for the Linearized Elasticity System
✍ Scribed by Mourad Sini
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 2004
- Tongue
- English
- Weight
- 349 KB
- Volume
- 49
- Category
- Article
- ISSN
- 0378-620X
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📜 SIMILAR VOLUMES
## Abstract This paper is the second of the two announced in our Note (Sili A, [16]). It generalizes to the linearized system of elasticity the results of our previous work (Sili, 2000 [15]) on the heat equation. We study the asymptotic analysis, as __ϵ__ tends to zero, of the solution __u__^__ϵ__^
In this paper, we investigate the positive solutions of equations wc4)(t) = xf(t, w(t)) with w(O) = w(l) = w'(O) = w'(l) = 0. We obtain several existence and multiplicity results by an application of the Krasnosel'skii fixed-point theorem of cone expansion-compression type. This class of equations u