Nonlinear Robin problems with double phase variable exponent operator
Eleonora Amoroso, Valeria Morabito · Discrete and Continuous Dynamical Systems - S · 2024
This paper is devoted to the study of a nonlinear differential problem involving the double phase operator with variable exponents and Robin boundary conditions with critical growth. In particular, exploiting a recent result on a new equivalent norm in the Musielak-Orlicz Sobolev space, we obtain the existence of two nontrivial weak solutions through critical point theory.