Solutions to an anisotropic system via sub-supersolution method and Mountain Pass Theorem

We use sub-supersolution method and Mountain Pass Theorem in order to show existence and multiplicity of solution for quasilinear system given by \begin{equation*} \begin{cases} -\Big[\displaystyle\sum^{N}_{i=1}\frac{\partial}{\partial x_{i}}\Big \vert \frac{\partial u}{\partial x_{i}} \Big\vert^{...

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Bibliographic Details
Main Authors: Giovany Figueiredo, Julio Silva
Format: Article
Language:English
Published: University of Szeged 2019-06-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=7152