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Existence and multiplicity of solutions for a nonlinear Neumann problem

✍ Scribed by Giuseppina Vannella


Publisher
Springer
Year
2002
Tongue
English
Weight
120 KB
Volume
180
Category
Article
ISSN
0373-3114

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✍ Giovanni Anello πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 151 KB

## 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

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In this paper, we study the following nonlinear Neumann boundary value problem where Ω βŠ‚ R n is a bounded domain with smooth boundary βˆ‚β„¦, βˆ‚u βˆ‚v is the outer unit normal derivative on βˆ‚β„¦, Ξ» > 0 is a real number, p is a continuous function on Ω with inf xβˆˆβ„¦ p(x) > 1, f : Ω Γ— R β†’ R is a continuous fun