Abstract
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.
Citation
Aijun Yang. "An extension of Leggett-Williams norm-type theorem for coincidences and its application." Topol. Methods Nonlinear Anal. 37 (1) 177 - 191, 2011.
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