Entropy solutions for some nonlinear and noncoercive parabolic problems in the anisotropic Sobolev spaces

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Moussa Chrif
Youssef Hajji
Hassane Hjiaj

Abstract

In this paper, we studied the existence of solutions for a class parabolic problem involving a non-coercive Leray-Lions operator with a Hardy potential. Using an approximate method and some a priori estimation techniques, we show the existence of entropy solutions for the studied problem within the framework of anisotropic Sobolev spaces.

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How to Cite
Chrif, M., Hajji, Y., & Hjiaj, H. (2025). Entropy solutions for some nonlinear and noncoercive parabolic problems in the anisotropic Sobolev spaces. Gulf Journal of Mathematics, 19(1), 285-311. https://doi.org/10.56947/gjom.v19i1.2600
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