On a Class of Anisotropic Nonlinear Elliptic Equations with Variable Exponent

Joint Authors

Zhang, Hongtao
Zhang, Guoqing

Source

Journal of Function Spaces and Applications

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

Mathematics

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 and Applications،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-457122

Modern Language Association (MLA)

Zhang, Guoqing& Zhang, Hongtao. On a Class of Anisotropic Nonlinear Elliptic Equations with Variable Exponent. Journal of Function Spaces and Applications No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-457122

American Medical Association (AMA)

Zhang, Guoqing& Zhang, Hongtao. On a Class of Anisotropic Nonlinear Elliptic Equations with Variable Exponent. Journal of Function Spaces and Applications. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-457122

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-457122