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/