Existence and Nonexistence of a Solution for a Nonlinear p(x)-Elliptic Problem with Right-Hand Side Measure
Joint Authors
Azroul, Elhoussine
Barbara, Abdelkrim
Redwane, Hicham
Source
International Journal of Analysis
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-03
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
We discuss the existence and nonexistence of solution of a nonlinear problem p(x)-elliptic-div(a(x,∇u))+g(x,u,∇u)=μ, where μ is a Radon measure with bounded total variation, by considering the Sobolev spaces with variable exponents.
This study is done in two cases: (i) μ is absolutely continuous with respect to p(x)-capacity.
and (ii) μ is concentrated on a Borel set of null p(x)-capacity.
American Psychological Association (APA)
Azroul, Elhoussine& Barbara, Abdelkrim& Redwane, Hicham. 2014. Existence and Nonexistence of a Solution for a Nonlinear p(x)-Elliptic Problem with Right-Hand Side Measure. International Journal of Analysis،Vol. 2014, no. 2014, pp.1-15.
https://search.emarefa.net/detail/BIM-463271
Modern Language Association (MLA)
Azroul, Elhoussine…[et al.]. Existence and Nonexistence of a Solution for a Nonlinear p(x)-Elliptic Problem with Right-Hand Side Measure. International Journal of Analysis No. 2014 (2014), pp.1-15.
https://search.emarefa.net/detail/BIM-463271
American Medical Association (AMA)
Azroul, Elhoussine& Barbara, Abdelkrim& Redwane, Hicham. Existence and Nonexistence of a Solution for a Nonlinear p(x)-Elliptic Problem with Right-Hand Side Measure. International Journal of Analysis. 2014. Vol. 2014, no. 2014, pp.1-15.
https://search.emarefa.net/detail/BIM-463271
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-463271