Affiliation:
1. Department of Arts and Science Teaching, Shanghai University of Medicine and Health Sciences, Shanghai 201318, China
2. Department of Mathematics, Tongji University, Shanghai 200092, China
3. North Caucasus Center for Mathematical Research, 362025 Vladikavkaz, Russia
Abstract
In this paper, we study the solution set of the following Dirichlet boundary equation:
in Musielak-Orlicz-Sobolev spaces, where
,
, and
are all Carathéodory functions. Both
and
depend on the solution
and its gradient
. By using a linear functional analysis method, we provide sufficient conditions which ensure that the solution set of the equation is nonempty, and it possesses a greatest element and a smallest element with respect to the ordering “≤,” which are called barrier solutions.
Funder
National Natural Science Foundation of China
Cited by
4 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献