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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2014-12-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2014/265/abstr.html |
| Summary: | 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 functions. |
|---|---|
| ISSN: | 1072-6691 |