Global attractors for plate equations with critical exponent in locally uniform spaces

A plate equation with critical exponent in locally uniform spaces with a coefficient β(x)β(x) belonging to the locally uniform spaces Llup(RN) is studied. This equation is shown to generate a dissipative semigroup in locally uniform spaces Ḣlu2(RN)×L̇lu2(RN), which possesses global attractors in weighted spaces Hρ2(RN)×Lρ2(RN).