Multiple solutions for a quasilinear Schrödinger system of Kirchhoff type with critical exponents

Mohammed Massar; Ahmed Hamydy; Najib Tsouli

doi:10.5269/bspm.v37i4.32571

Multiple solutions for a quasilinear Schrödinger system of Kirchhoff type with critical exponents

Mohammed Massar University Mohamed I Faculty of Sciences & Techniques, Al Hoceima Department of Mathematics http://orcid.org/0000-0002-7017-3500
Ahmed Hamydy CRMEF Tanger-Tetouan
Najib Tsouli University Mohamed I Faculty of Sciences & Techniques, Al Hoceima Department of Mathematics

DOI: https://doi.org/10.5269/bspm.v37i4.32571

Keywords: Critical exponents, Quasilinear Schrödinger equations, Kirchhoff type systems

Abstract

This paper is devoted to the existence of solutions for a class of Kirchhoff type systems involving critical exponents. The proof of the main results is based on concentration compactness principle related to critical elliptic systems due to Kang combined with genus theory.