Abstract
In a bounded open domain , where
, with Lipschitz boundary
, we consider the Dirichlet problem for the elliptic system given by
here,
,
, represents a vector-valued function,
denotes the partial derivative of u with respect to
, and the vector fields
and
are Carathédory functions. In this paper, we focus on nonlinear degenerate anisotropic elliptic systems with variable growth and
data, where m is small. Specifically, we consider the case where the right-hand side term f belongs to
with 1<m<N. To analyze this problem, we work with an appropriate functional setting that involves anisotropic Sobolev spaces with variable exponents and weak Lebesgue (Marcinkiewicz) spaces with variable exponents.
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Acknowledgments
The authors would like to thank the referees for their comments and suggestions.
Disclosure statement
No potential conflict of interest was reported by the author(s).