Nodal solutions for critical Robin double phase problems with variable exponent

In this paper, we study a nonlinear double phase problem with variable exponent and critical growth on the boundary. The has in reaction combined effects of Carathéodory perturbation defined only locally term. presence term does not permit to apply results point theory corresponding energy functional. Thus, use appropriate cut-off functions truncation techniques work an auxiliary coercive problem. way, can variational tools get sequence sign changing solutions our main Further, show that such converges $ 0 L^{\infty} Musielak-Orlicz Sobolev space.