MySQL
SELECT r.name,
GROUP_CONCAT(a.name SEPARATOR ',')
FROM RESOURCES r
JOIN APPLICATIONSRESOURCES ar ON ar.resource_id = r.id
JOIN APPLICATIONS a ON a.id = ar.app_id
GROUP BY r.name
SQL Server(2005以降)
SELECT r.name,
STUFF((SELECT ',' + a.name
FROM APPLICATIONS a
JOIN APPLICATIONRESOURCES ar ON ar.app_id = a.id
WHERE ar.resource_id = r.id
GROUP BY a.name
FOR XML PATH(''), TYPE).value('text()[1]','NVARCHAR(max)'), 1, LEN(','), '')
FROM RESOURCES r
SQL Server(2017+)
SELECT r.name,
STRING_AGG(a.name, ',')
FROM RESOURCES r
JOIN APPLICATIONSRESOURCES ar ON ar.resource_id = r.id
JOIN APPLICATIONS a ON a.id = ar.app_id
GROUP BY r.name
Oracle
Oracleでの文字列の集約/連結について読むことをお勧めします。