DOI: 10.1515/msds-2023-0105 ISSN: 2353-0626

p(x)-Kirchhoff-type problem with no-flux boundary conditions and convection

Soukaina Yacini, Mohamed El Ouaarabi, Chakir Allalou, Khalid Hilal
  • Applied Mathematics
  • Numerical Analysis
  • Statistics and Probability
  • Analysis
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Abstract

This article establishes the existence of a weak solution for a class of

p ( x ) p\left(x)
-Kirchhoff-type problem under no-flux boundary conditions with a reaction term depending also on the gradient convection. The proof of the main result is constructed by utilizing the theory of topological degree and the theory of generalized Sobolev spaces.

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