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.
@article{37697,
title = {Multiple solutions for a critical $p(x)$-Kirchhoff type equations},
journal = {Boletim da Sociedade Paranaense de Matem\'atica},
volume = {38},
year = {2019},
doi = {10.5269/bspm.v38i4.37697},
language = {EN},
url = {http://dml.mathdoc.fr/item/37697}
}
Tsouli, Najib; Haddaoui, Mustapha; Hssini, El Miloud. Multiple solutions for a critical $p(x)$-Kirchhoff type equations. Boletim da Sociedade Paranaense de Matemática, Tome 38 (2019) . doi : 10.5269/bspm.v38i4.37697. http://gdmltest.u-ga.fr/item/37697/