Houssam Baladi, Abdellatif Aglzim, Mohammed Filali, Najib Tsouli
Abstract:
This article considers p(x)-Kirchhoff type problems with extended
Robin boundary conditions. Using the mountain pass theorem, Ekeland's
variational principle, and Krasnoselskii's genus theory, we prove
the existence at least two, and infinitely many non-trivial weak
solutions under some suitable conditions on the non-linearities.
The main results improve and generalize the results introduced in [1].
Submitted July 23, 2024. Published December 11, 2024.
Math Subject Classifications: 35F20, 35F25, 35F30.
Key Words: p(x)-laplacian operator; variational method; Kirchhoff problem; Krasnoselskii's genus; Robin boundary condition
DOI: 10.58997/ejde.2024.83
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Houssam Baladi University of Mohamed Premier Mathematics Department, Faculty of Science Oujda, Morocco email: houssam.baladi@ump.ac.ma |
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Abdellatif Aglzim University of Mohamed Premier Mathematics Department Faculty of Science, Oujda, Morocco email: abdellatif.aglzim@ump.ac.ma |
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Mohammed Filali University of Mohamed Premier Mathematics Department Faculty of Science, Oujda, Morocco email: filali1959@yahoo.fr |
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Najib Tsouli University of Mohamed Premier Mathematics Department Faculty of Science Oujda, Morocco email: n.tsouli@ump.ac.ma |
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