An existence result for a quasilinear degenerate problem in $\mathbb{R}^N$

In this paper we study an existence result of the quasilinear problem $-\mbox{div}[\phi{'}(|\nabla u|^2)\nabla u] + a(x)|u|^{\alpha-2}u = |u|^{\gamma-2}u + |u|^{\beta-2}u$ in $\mathbb{R}^N (N\geq 3)$, where $\phi(t)$ behaves like $t^{q/2}$ for small $t$ and $t^{p/2}$ for large $t$, $a$ is a pos...

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Bibliographic Details
Main Author: Iulia Stircu
Format: Article
Language:English
Published: University of Szeged 2017-01-01
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=5423