Christian Friedrich (1-1) threw seven shutout innings, allowing three hits with five strikeouts and a walk for San Diego.
Arizona starter Robbie Ray (2-4) lasted only 4 2/3 innings, allowing five runs and nine hits with two walks and eight strikeouts.
San Diego teed off on Ray in the fifth. Kemp hit homer with one out, his team-leading 11th, and Solarte -- batting right-handed -- followed with his second homer of the season. Ray retired Upton, but gave up Brett Wallace's single to left against a shift before departing.
Dominic Leone, newly arrived from Triple-A Reno, came on and surrendered Norris' home run to make it 6-0.
Solarte's towering, three-run homer -- batting left-handed -- off Josh Collmenter sparked a four-run fourth that gave San Diego a 10-0 lead. Solarte's two-homer game was his second, the first coming August 3, 2015, at Milwaukee.
Drury's two-run homer in the eighth off Keith Hessler made it 10-2. Lamb added a pinch-hit, solo shot in the ninth.
Padres: LHP Matt Thornton, out since April 8 with left Achilles tendonitis, is expected to be activated this weekend. Thornton has struck out three and walked one in three innings in a rehab assignment with Single-A Lake Elsinore.
Diamondbacks: RHP Rubby De La Rosa (right elbow inflammation) and RHP Shelby Miller (sprained right index finger) were placed on the 15-day disabled list and Collmenter (right shoulder inflammation) was activated from the 15-day disabled list on Friday. De La Rosa was 4-1 with a 1.87 ERA in his past six outings before allowing five earned runs on 4 1/3 innings on Wednesday in Pittsburgh. Miller, who originally injured the finger April 16 in San Diego when he scraped his hand on the mound following through on a pitch, is 1-7 in 10 starts with 30 strikeouts and 29 walks in 45 2/3 innings and a 7.09 ERA. Collmenter was placed on the disabled list April 2 and made six minor-league rehab starts.
In addition to the disabled list shuffling, the Diamondbacks optioned LHP Andrew Chaffin and RHP Evan Marshall to Triple-A Reno and recalled OF Peter O'Brien, RHP Silvino Bracho and RHP Dominic Leone from Reno.
Collmenter's first outing of the season was one he'd like to forget. After retiring Jon Jay to start the inning, six straight Padres reached base and four runs scored against the right-hander known as "Tomahawk" for his over-the-top delivery.
With a 3-for-5 night, Kemp raised his career batting average against the Diamondbacks to .295. His home run off Ray was Kemp's 32nd against Arizona, the second-most among active players behind Adrian Gonzalez. Kemp's 156 career hits against Arizona are the third-most among active players.
HITTING LIKE A LION
Lamb's homer was his career-high seventh of the season.
Padres: RHP Cesar Vargas (0-2, 3.34 ERA), who held the Dodgers to two runs on four hits with a walk in a no-decision his last time out, will start Saturday against the Diamondbacks. Vargas has started four of his seven games on the road.
Diamondbacks: RHP Zack Greinke (5-3, 4.59 ERA), coming off his most dominant start of the season, will make his 11th start Saturday against the Padres. Greinke allowed one run on five hits over eight innings in St. Louis on Sunday. Greinke walked one and struck out seven. Greinke is 6-1 with a 1.64 ERA in 13 career games against San Diego.