Existence of solutions for Dirichlet quasilinear systems including a nonlinear function of the derivative
Date
2016-02-25
Authors
Heidarkhani, Shapour
Ferrara, Massimiliano
Afrouzi, Ghasem Alizadeh
Caristi, Giuseppe
Moradi, Shahin
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Classical solution, Dirichlet quasilinear system, Critical point theory, Variational methods
Citation
Heidarkhani, S., Ferrara, M., Afrouzi, G. A., Caristi, G., & Moradi, S. (2016). Existence of solutions for Dirichlet quasilinear systems including a nonlinear function of the derivative. <i>Electronic Journal of Differential Equations, 2016</i>(56), pp. 1-12.
Rights
Attribution 4.0 International