The naval battle of this name began on November 12 and repulsed the last Japanese attempt at reinforcement, though they didn't finish abandoning the island until the following February.  
On August 7th Allied forces landed, capturing the airfield and the neighboring islands of Tulagi, Gavutu, and Tanombogo.  The subsequent battles of Cape Esperance and Santa Cruz Islands disallowed Japanese reinforcements, but by mid October, 22,000 Japanese faced a similar number of US marines. The naval battle of this name began on November 12 and repulsed the last Japanese attempt at reinforcement, though they didn't finish abandoning the island until the following February.  FTP, identify this battle of 1942 and 1943, the first major Allied offensive of the Pacific theatre, named for the primary island of the Solomons.
On August 7th Allied forces landed, capturing the airfield and the neighboring islands of Tulagi, Gavutu, and Tanombogo.  
Battle of {Guadalcanal}