Nonlinear anisotropic elliptic equations with variable exponents and degenerate coercivity

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ayadi.pdf (337.59 KB)
Date
2018-02-12
Authors
Ayadi, Hocine
Mokhtari, Fares
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In this article, we prove the existence and the regularity of distributional solutions for a class of nonlinear anisotropic elliptic equations with pi(x) growth conditions, degenerate coercivity and Lm(∙) data, with m(∙) being small, in appropriate Lebesgue-Sobolev spaces with variable exponents. The obtained results extend some existing ones [8, 10].
Description
Keywords
Anisotropic elliptic equations, Variable exponents, Degenerate coercivity, Distributional solutions, Irregular data
Citation
Ayadi, H., & Mokhtari, F. (2018). Nonlinear anisotropic elliptic equations with variable exponents and degenerate coercivity. <i>Electronic Journal of Differential Equations, 2018</i>(45), pp. 1-23.
URI
https://hdl.handle.net/10877/15101
Collections
Electronic Journal of Differential Equations