Multiple existence results of solutions for the Neumann problems via super- and sub-solutions
β Scribed by Shizuo Miyajima; Dumitru Motreanu; Mieko Tanaka
- Book ID
- 113710200
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 307 KB
- Volume
- 262
- Category
- Article
- ISSN
- 0022-1236
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π SIMILAR VOLUMES
## Abstract In this paper we establish an existence theorem of strong solutions to a perturbed Neumann problem of the type equation image In particular, our solutions take their values in a fixed real interval. This latter fact allows us to state a multiplicity result assuming on __f__ an oscilla
In this paper, we study the following nonlinear Neumann boundary value problem where β¦ β R n is a bounded domain with smooth boundary ββ¦, βu βv is the outer unit normal derivative on ββ¦, Ξ» > 0 is a real number, p is a continuous function on β¦ with inf xββ¦ p(x) > 1, f : β¦ Γ R β R is a continuous fun