A remark on ground state solutions for Lane-Emden-Fowler equations with a convection term

Via a sub-supersolution method and a perturbation argument, we study the Lane-Emden-Fowler equation $$ -Delta u =p(x)[g(u)+f(u)+| abla u|^q] $$ in $mathbb{R} ^N$ ($Ngeq3$), where $0<q<1$, $p$ is a positive weight such that $int_0^infty rvarphi(r)dr<infty$, where $varphi(r)=max_{|x|=r}p(x...

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Bibliographic Details
Main Authors: Hongtao Xue, Zhijun Zhang
Format: Article
Language:English
Published: Texas State University 2007-04-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2007/53/abstr.html