INFINITELY MANY SOLUTIONS FOR A p(x)-KIRCHHOFF TYPE EQUATION WITH STEKLOV BOUNDARY VALUE.

In the present article deal with the existence and multiplicity of solutions to a class of p(x)-Kirchhoff type problem with Steklov boundary-value. By variational approach and theory of the variable exponent Sobolev spaces, under appropriate assumptions on f, we obtain existence of infinitely solutions and at least one nontrivial weak solution. [ABSTRACT FROM AUTHOR]