Existence of solutions for Dirichlet quasilinear systems including a nonlinear function of the derivative
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 beh...
Main Authors: | , , , , |
---|---|
Format: | Article |
Language: | English |
Published: |
Texas State University
2016-02-01
|
Series: | Electronic Journal of Differential Equations |
Subjects: | |
Online Access: | http://ejde.math.txstate.edu/Volumes/2016/56/abstr.html |
Summary: | 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. |
---|---|
ISSN: | 1072-6691 |