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Authors: ABITA RAHMOUNE, BENYATTOU BENABEDERRAHMANE.
generalized parabolic equation with nonlocal boundary conditions for an elliptic operator involving the variable-exponent nonlinearities, using Faedo-Galerkin arguments and compactness method.
Keywords: Nonlocal boundary conditions, quasi-linear parabolic equations,
generalized Lebesgue space and Sobolev spaces with variable exponents.
