Topological degree for weak solution of fourth-order problems

Authors

  • Soukaina Yacini Laboratory LMACS, FST of Beni Mellal, Sultan Moulay Slimane University, Morocco
  • Chakir Allalou Laboratory LMACS, FST of Beni Mellal, Sultan Moulay Slimane University, Beni Mellal, Morocco.

Abstract

In this article, we show the existence and uniqueness of weak solution under various hypotheses for the fourth-order problems with Leray-Lions-type operators. Thanks to the Berkovits topological degree method applied to an abstract Hammerstein equation in Sobolev spaces with variable exponents, our result is obtained.

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Published

2025-05-30

Issue

Vol. 32 No. 2 (2025): Nonlinear Studies (NS)

Section

Articles

License

Copyright (c) 2025 Soukaina Yacini, Chakir Allalou

Creative Commons License

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

How to Cite

Topological degree for weak solution of fourth-order problems. (2025). Nonlinear Studies, 32(2), 405-416. https://nonlinearstudies.com/index.php/nonlinear/article/view/3416