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Entropy and renormalized solutions for some nonlinear anisotropic elliptic equations with variable exponents and L1-data

Mostafa El Moumni

Mostafa El Moumni

Department of Mathematics, Faculty of Sciences El Jadida, University Chouaib DoukkaliEl Jadida, Morocco
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Moumni, Mostafa El
 and 
Deval Sidi Mohamed

Deval Sidi Mohamed

Laboratory LAMA, Department of Mathematics, Faculty of Sciences Dhar El Mahraz, University Sidi Mohamed Ben AbdellahAtlas Fez, Morocco
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Mohamed, Deval Sidi
  
Jan 29, 2021
Entropy and renormalized solutions for some nonlinear anisotropic elliptic equations with variable exponents and L1-data's Cover Image
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Published Online: Jan 29, 2021
Page range: 277 - 298
Received: Aug 31, 2020
Accepted: Jan 01, 2021
DOI: https://doi.org/10.2478/mjpaa-2021-0018
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© 2021 Mostafa El Moumni et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

We prove in this paper some existence and unicity results of entropy and renormalized solutions for some nonlinear elliptic equations with general anisotropic diffusivities and variable exponents. The data are assumed to be merely integrable.

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English
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Journal Subjects:
Mathematics, Analysis, Differential Equations and Dynamical Systems, Probability and Statistics, Numerical and Computational Mathematics
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