Fei Fang, Zheng Zhou
In this article, we consider three types of solutions in Orlicz spaces for the quasilinear elliptic problem
By applying a comparison principle, we establish the relationships between viscosity supersolutions, weak supersolutions, and superharmonic functions.
Submitted September 16, 2014. Published December 22, 2014.
Math Subject Classifications: 35J20, 35J65, 35J70, 35H30.
Key Words: Oilicz-Sobolev spaces; quasilinear elliptic equation; viscous solution.
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| Fei Fang |
School of Mathematical Sciences
Beijing, 100871, China
| Zheng Zhou |
School of Applied Mathematical
Xiamen University of Technology
Xiamen 361024, China
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