ABSTRACT
This article is devoted to the study of a class of nonlinear anisotropic elliptic equations with degenerate coercivity, lower order term and datum in appropriate anisotropic variable exponent Sobolev space. We obtain the existence of the entropy solutions via strong convergence of the truncations and we derive some properties of these solutions.
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Acknowledgments
The authors would like to thank the referees for the useful comments and suggestions that substantially helped improving the quality of the paper. They are also very grateful to Pr. Jean-Michel Rakotoson for his helpful advice and discussions.
Disclosure statement
No potential conflict of interest was reported by the authors.
ORCID
Hocine Ayadi http://orcid.org/0000-0002-0131-4437