On a Class of Anisotropic Nonlinear Elliptic Equations with Variable Exponent
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-08-18
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Based on truncation technique and priori estimates, we prove the existence and uniqueness of weak solution for a class of anisotropic nonlinear elliptic equations with variable exponent p(x)→ growth.
Furthermore, we also obtain that the weak solution is locally bounded and regular; that is, the weak solution is Lloc∞(Ω) and C1,α(Ω).
American Psychological Association (APA)
Zhang, Guoqing& Zhang, Hongtao. 2013. On a Class of Anisotropic Nonlinear Elliptic Equations with Variable Exponent. Journal of Function Spaces،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-1006024
Modern Language Association (MLA)
Zhang, Guoqing& Zhang, Hongtao. On a Class of Anisotropic Nonlinear Elliptic Equations with Variable Exponent. Journal of Function Spaces No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-1006024
American Medical Association (AMA)
Zhang, Guoqing& Zhang, Hongtao. On a Class of Anisotropic Nonlinear Elliptic Equations with Variable Exponent. Journal of Function Spaces. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-1006024
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1006024