The Sub-Supersolution Method and Extremal Solutions of Quasilinear Elliptic Equations in Orlicz-Sobolev Spaces
Joint Authors
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-08-05
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We prove the existence of extremal solutions of the following quasilinear elliptic problem -∑i=1N∂/∂xiai(x,u(x),Du(x))+g(x,u(x),Du(x))=0 under Dirichlet boundary condition in Orlicz-Sobolev spaces W01LM(Ω) and give the enclosure of solutions.
The differential part is driven by a Leray-Lions operator in Orlicz-Sobolev spaces, while the nonlinear term g:Ω×R×RN→R is a Carathéodory function satisfying a growth condition.
Our approach relies on the method of linear functional analysis theory and the sub-supersolution method.
American Psychological Association (APA)
Dong, Ge& Fang, Xiaochun. 2018. The Sub-Supersolution Method and Extremal Solutions of Quasilinear Elliptic Equations in Orlicz-Sobolev Spaces. Journal of Function Spaces،Vol. 2018, no. 2018, pp.1-7.
https://search.emarefa.net/detail/BIM-1186587
Modern Language Association (MLA)
Dong, Ge& Fang, Xiaochun. The Sub-Supersolution Method and Extremal Solutions of Quasilinear Elliptic Equations in Orlicz-Sobolev Spaces. Journal of Function Spaces No. 2018 (2018), pp.1-7.
https://search.emarefa.net/detail/BIM-1186587
American Medical Association (AMA)
Dong, Ge& Fang, Xiaochun. The Sub-Supersolution Method and Extremal Solutions of Quasilinear Elliptic Equations in Orlicz-Sobolev Spaces. Journal of Function Spaces. 2018. Vol. 2018, no. 2018, pp.1-7.
https://search.emarefa.net/detail/BIM-1186587
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1186587
