Multiple solutions for elliptic boundary value problems with odd nonlinearities
โ Scribed by Klaus Thews
- Publisher
- Springer-Verlag
- Year
- 1978
- Tongue
- French
- Weight
- 513 KB
- Volume
- 163
- Category
- Article
- ISSN
- 0025-5874
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๐ SIMILAR VOLUMES
Let R be a bounded domain in W" (n > 3) having a smooth boundary, let cp be an essentially bounded real-valued function defined on R x We, and let 1c, be a continuous realvalued function defined on a given subset Y of We. In this paper, the existence of strong solutions u E W'J'(R,EX~) n W,:Pp(R,~h)
For the 2nth-order boundary value problem c~y (2i) (0) -fliy (2i+1) (0) = a~y (2i) (1) +/3~y (2i+1) (1) = 0, O 1, growth conditions are imposed on f which yield the existence of at least two symmetric positive solutions by using the fixed-point theorem in double cones.