Electron. J. Diff. Equ.,
Vol. 2016 (2016), No. 56, pp. 1-12.
Existence of solutions for Dirichlet quasilinear systems including a
nonlinear function of the derivative
Shapour Heidarkhani, Massimiliano Ferrara, Ghasem A. Afrouzi, Giuseppe Caristi, Shahin Moradi
Abstract:
In this article we establish the existence of at least one
non-trivial classical solution for Dirichlet quasilinear systems
with a nonlinear dependence on the derivative.
We use variational methods for smooth functionals defined
on reflexive Banach spaces, and assumptions on the asymptotic behaviour
of the nonlinear data.
Submitted November 17, 2015. Published February 25, 2016.
Math Subject Classifications: 34B15, 58E05.
Key Words: Classical solution; Dirichlet quasilinear system; critical point theory;
variational methods.
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Shapour Heidarkhani
Department of Mathematics, Faculty of Sciences
Razi University, 67149 Kermanshah, Iran
email: s.heidarkhani@razi.ac.ir
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Massimiliano Ferrara
Department of Law and Economics
University Mediterranea of Reggio Calabria
Via dei Bianchi, 2 - 89127 Reggio Calabria, Italy
email: massimiliano.ferrara@unirc.it
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Ghasem A. Afrouzi
Department of Mathematics
Faculty of Mathematical Sciences
University of Mazandaran, Babolsar, Iran
email: afrouzi@umz.ac.ir
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Giuseppe Caristi
Department of Economics
University of Messina
via dei Verdi, 75, Messina, Italy
email: gcaristi@unime.it
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Shahin Moradi
Department of Mathematics
Faculty of Mathematical Sciences
University of Mazandaran, Babolsar, Iran
email: shahin.moradi86@yahoo.com
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