Existence of solutions for a biharmonic equation with gradient term

Authors

  • Ahmed HAMYDY Department of Mathematics, CRMEFTTH of Tetuan, "Abdelmalek Essaadi" University, Morocco. Email: a.hamydy@yahoo.fr. https://orcid.org/0000-0003-4754-2280
  • Mohamed MASSAR Department of Mathematics, Faculty of Technical Sciences of Alhoceima, "Abdelmalek Essaadi" University, Morocco. Email: massarmed@hotmail.com.
  • Hilal ESSAOUINI Department of Physics, Energy Laboratory, Faculty of Sciences of Tetuan, "Abdelmalek Essaadi" University, Morocco. Email: hilal essaouini@yahoo.fr. https://orcid.org/0000-0001-7941-5775

DOI:

https://doi.org/10.24193/subbmath.2023.4.14

Keywords:

Radial solution, Biharmonic equation, index theory, existence

Abstract

In this paper, we mainly study the existence of radial solutions for a class of biharmonic equation with a convection term, involving two real parameters. We mainly use a combination of the fixed point index theory and the Banach contraction theorem

Mathematics Subject Classification (2010): 35K55, 35K65.

Received 13 November 2020; Accepted 10 January 2021. Published Online: 2023-12-11 Published Print: 2023-12-30

References

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Published

2023-12-11

How to Cite

HAMYDY, A., MASSAR, M., & ESSAOUINI, H. (2023). Existence of solutions for a biharmonic equation with gradient term. Studia Universitatis Babeș-Bolyai Mathematica, 68(4), 873–884. https://doi.org/10.24193/subbmath.2023.4.14

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