Electron. J. Diff. Equ., Vol. 2015 (2015), No. 17, pp. 1-14.

Positive solutions for a nonlinear parameter-depending algebraic system

Gabriele Bonanno, Pasquale Candito, Giuseppina D'Agui

Abstract:
Through variational methods, the existence of positive solutions for a nonlinear parameter-depending algebraic system is investigated. The main tools used are some very recent critical points theorems on finite dimensional Banach spaces and a new version of the weak and strong discrete maximum principle.

Submitted September 18, 2014. Published January 20, 2015.
Math Subject Classifications: 47J30, 39B42, 39A12.
Key Words: Nonlinear algebraic systems; existence result; positive solutions; variational methods.

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Gabriele Bonanno
Department of Civil, Computer, Construction,
Environmental Engineering and Applied Mathematics
University of Messina
98166 - Messina, Italy
email: bonanno@unime.it
Pasquale Candito
Department DICEAM, University of Reggio Calabria
Via Graziella (Feo Di Vito)
89122 Reggio Calabria, Italy
email: pasquale.candito@unirc.it
Giuseppina D'Aguì
Department of Civil, Computer, Construction,
Environmental Engineering and Applied Mathematics
University of Messina
98166 - Messina, Italy
email: dagui@unime.it

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