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Existence and regularity results for some nonlinear singular parabolic problems with absorption terms

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Abstract

In this paper, we prove the existence of a nonnegative solution to nonlinear parabolic problems with two absorption terms and a singular lower order term. More precisely, we analyze the interaction between the two absorption terms and the singular term to get a solution for the largest possible class of the data. Also, the regularizing effect of absorption terms on the regularity of the solution of the problem and its gradient is analyzed.

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Acknowledgements

We are grateful to the anonymous referees for their careful reading and constructive comments which led to an improvement of our original manuscript.

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Author notes

  1. Youssef El Hadfi and Abdelaaziz Sbai contributed equally to this work.

Authors and Affiliations

  1. Laboratory LIPIM, National School of Applied Sciences Khouribga, Sultan Moulay Slimane University, Beni Mellal, Morocco

    Mounim El Ouardy, Youssef El Hadfi & Abdelaaziz Sbai

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  1. Mounim El Ouardy
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  2. Youssef El Hadfi
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  3. Abdelaaziz Sbai
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Correspondence to Mounim El Ouardy.

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El Ouardy, M., El Hadfi, Y. & Sbai, A. Existence and regularity results for some nonlinear singular parabolic problems with absorption terms. Monatsh Math 203, 583–612 (2024). https://doi.org/10.1007/s00605-023-01942-y

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  • DOI: https://doi.org/10.1007/s00605-023-01942-y

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