Pullback Attractors for Multivalued Processes and Application to Nonautonomous Problems with Dynamic Boundary Conditions

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In this work we prove, by using the Faedo-Galerkin method, the existence of at least one solution for a class of p-Laplacian nonautonomous problems with dynamic boundary conditions. We also extend to the multivalued context results on the existence of \(\mathcal {D}\)-pullback attractor - the pullback attractor for a determined basin of attraction \(\mathcal {D}\) - and we prove the existence of such attractors for the class of nonautonomous problems we are concerned about.