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- W2080915563 abstract "In the paper [A. Ben Amar, A. Jeribi, and B. Krichen, Fixed point theorems for block operator matrix and an application to a structured problem under boundary conditions of Rotenberg's model type, to appear in Math. Slovaca. (2014)], the existence of solutions of the two-dimensional boundary value problem (1) and (2) was discussed in the product Banach space L(p)×L(p) for p∈(1, ∞). Due to the lack of compactness on L1 spaces, the analysis did not cover the case p=1. The purpose of this work is to extend the results of Ben Amar et al. to the case p=1 by establishing new variants of fixed-point theorems for a 2×2 operator matrix, involving weakly compact operators." @default.
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- W2080915563 date "2013-12-01" @default.
- W2080915563 modified "2023-09-26" @default.
- W2080915563 title "Existence of solutions of a two-dimensional boundary value problem for a system of nonlinear equations arising in growing cell populations" @default.
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- W2080915563 doi "https://doi.org/10.1080/17513758.2013.823520" @default.
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