Infinitely many solutions to Kirchhoff double phase problems with variable exponents

In this work we deal with elliptic equations driven by the variable exponent double phase operator a Kirchhoff term and right-hand side that is just locally defined in terms of very mild assumptions. Based on an abstract critical point result Kajikiya (2005) recent priori bounds for generalized problems authors (Ho Winkert, 0000) , prove existence sequence nontrivial solutions whose L∞-norms converge to zero.