An extension of Leggett-Williams norm-type theorem for coincidences and its application
Keywords
Boundary value problem, resonance, cone, positive solution, coincidenceAbstract
In this paper, several versions extension of Leggett-Williams norm-type theorem for coincidences are given and proved to obtain the positive solutions of the operator equation $Mx=Nx$, where $M$ is a quasi-linear operator and $N$ is nonlinear. Moreover, as an application, the existence of positive solutions for multi-point boundary value problem with a $p$-Laplacian is obtained by one of those theorems.Downloads
Published
2011-04-23
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1.
YANG, Aijun. An extension of Leggett-Williams norm-type theorem for coincidences and its application. Topological Methods in Nonlinear Analysis. Online. 23 April 2011. Vol. 37, no. 1, pp. 177 - 191. [Accessed 9 September 2024].
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