Existence and multiplicity of solutions to a perturbed Neumann problem
β Scribed by Giovanni Anello
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 151 KB
- Volume
- 280
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
β¦ Synopsis
Abstract
In this paper we establish an existence theorem of strong solutions to a perturbed Neumann problem of the type
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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 oscillating behavior. (Β© 2007 WILEYβVCH Verlag GmbH & Co. KGaA, Weinheim)
π SIMILAR VOLUMES
Combining a bifurcation theorem with a local LerayαSchauder degree theorem of Krasnoselskii and Zabreiko in the case of a simple singular point, we obtain an existence result on the number of small solutions for a class of functional bifurcation equations. Since this result contains the information
The existence and multiplicity results are obtained for solutions of a class of the Dirichlet problem for semilinear elliptic equations by the least action principle and the minimax methods, respectively.