Nonlinear anisotropic elliptic equations with variable exponents and degenerate coercivity

In this article, we prove the existence and the regularity of distributional solutions for a class of nonlinear anisotropic elliptic equations with $p_i(x)$ growth conditions, degenerate coercivity and $L^{m(\cdot)}$ data, with $m(\cdot)$ being small, in appropriate Lebesgue-Sobolev spaces with...

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Bibliographic Details
Main Authors: Hocine Ayadi, Fares Mokhtari
Format: Article
Language:English
Published: Texas State University 2018-02-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2018/45/abstr.html