Triazine derivatives of the formula (I) and physiologically acceptable salts and solvates thereof, in which R.sup.1, R.sup.2, A and R.sup.5 are as defined in Claim 1, exhibit phosphodiesterase IV inhibition and can be employed for the treatment of allergic diseases, asthma, chronic bronchitis, atopic dermatitis, psoriasis and other skin diseases, inflammatory diseases, autoimmune diseases, such as, for example, rheumatoid arthritis, multiple sclerosis, Crohn's disease, diabetes mellitus or ulcerative colitis, osteoporosis, transplant rejection reactions, cachexia, tumour growth or tumour metastases, sepsis, memory disorders, atherosclerosis and AIDS, furthermore for inhibiting the formation of TNF.alpha.. ##STR00001##