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 | |
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 | |
Ghasem A. Afrouzi Department of Mathematics Faculty of Mathematical Sciences University of Mazandaran, Babolsar, Iran email: afrouzi@umz.ac.ir | |
Giuseppe Caristi Department of Economics University of Messina via dei Verdi, 75, Messina, Italy email: gcaristi@unime.it | |
Shahin Moradi Department of Mathematics Faculty of Mathematical Sciences University of Mazandaran, Babolsar, Iran email: shahin.moradi86@yahoo.com |
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