Multiple solutions for a critical $p(x)$-Kirchhoff type equations

  • Najib Tsouli Iniversity Mohamed I, faculty of sciences, Oujda, Morocco.
  • Mustapha Haddaoui Iniversity Mohamed I, faculty of sciences, Oujda, Morocco.
  • El Miloud Hssini Iniversity Mohamed I, faculty of sciences, Oujda, Morocco.
Keywords: Critical exponent, p(x)-Kirchhoff problem, Variational method

Abstract

In this paper, by using the concentration--compactness principle of Lions for variable exponents and variational arguments, we obtain the existence and multiplicity solutions for a class of $p(x)$-Kirchhoff type equations with critical exponent.

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Author Biographies

Najib Tsouli, Iniversity Mohamed I, faculty of sciences, Oujda, Morocco.
departement of mathematics, Oujda
Mustapha Haddaoui, Iniversity Mohamed I, faculty of sciences, Oujda, Morocco.
departement of mathematics
El Miloud Hssini, Iniversity Mohamed I, faculty of sciences, Oujda, Morocco.
departement of mathematics, Oujda.
Published
2019-03-10
Section
Research Articles