SELECT * FROM `catalog` as c
INNER JOIN atributes AS a1 ON c.art = a1.art
INNER JOIN atributes AS a2 ON c.art = a2.art
WHERE c.catalog_3 = "Видеокарты"
AND c.price != "0"
AND c.avail != "0"
AND a1.names = "Производитель"
AND a1.value = "ASUS"
AND a2.names = "Графический процессор"
AND a2.value = "AMD Radeon HD 7770"
ORDER BY price ASC LIMIT 0, 15
GROUP BY `c`.`id`
, только серверу добавится работы.