On a Class of Anisotropic Nonlinear Elliptic Equations with Variable Exponent

Joint Authors

Zhang, Hongtao
Zhang, Guoqing

Source

Journal of Function Spaces

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،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