Absorbent articles with multiple layer absorbent cores

Absorbent articles such as disposable diapers, incontinent pads, sanitary napkins and the like that have multiple layer absorbent cores that are suitable for acquiring and containing liquids in an especially effective and efficient manner. The absorbent core comprises multiple layers including a first layer comprising hydrophilic fibrous material and having an acquisition zone of a relatively lower average density than the other portions of the first layer so that it quickly acquires discharged liquids; a liquid handling layer comprising a resilient material that is moisture insensitive so as to rapidly acquire liquid into itself through the acquisition zone and distribute the liquid throughout the liquid handling layer to a storage layer and the first layer; and a storage layer comprising a combination of fibrous material and discrete particles of absorbent gelling material that contains and stores the liquids deposited onto the absorbent core and allows the liquid handling layer to be "drained" of the liquids it has acquired so that the liquid handling layer may have sufficient capacity to acquire and distribute subsequent loadings of liquids.