Relationship between solutions to a quasilinear elliptic equation in Orlicz spaces

In this article, we consider three types of solutions in Orlicz spaces for the quasilinear elliptic problem $$ -\hbox{div}(a(|\nabla u|)\nabla u)=0. $$ By applying a comparison principle, we establish the relationships between viscosity supersolutions, weak supersolutions, and superharmonic f...

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Bibliographic Details
Main Authors: Fei Fang, Zheng Zhou
Format: Article
Language:English
Published: Texas State University 2014-12-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2014/265/abstr.html