Differential inclusion problems in anisotropic Sobolev spaces with measure data

Authors

  • Mohammed El Ansari University of Sidi Mohamed Ben Abdellah, Laboratory of Mathematics and Data Science, Multidisciplinary Faculty of Taza, P.O. Box 1223 Taza, Morocco.
  • Rachid El Harch University of Sidi Mohamed Ben Abdellah, Laboratory of Mathematics and Data Science, Multidisciplinary Faculty of Taza, P.O. Box 1223 Taza, Morocco.

Abstract

We consider nonlinear elliptic inclusion having a measure in the right hand side of the type (u) diva(xDu)  in a bounded domain in RN with is a maximal monotone graph in R2 and a(xDu) is a Leray-Lions type operator. We study a suitable notion of solution for this kind of problem. The functional setting involves anisotropic Sobolev spaces.

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Published

2026-08-30

Issue

Vol. 33 No. 3 (2026): Nonlinear Studies

Section

Articles

License

Copyright (c) 2026 Mohammed El Ansari, Rachid El Harch

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

Differential inclusion problems in anisotropic Sobolev spaces with measure data. (2026). Nonlinear Studies, 33(3), 1065-1090. https://www.nonlinearstudies.com/index.php/nonlinear/article/view/4150