The invention relates to phenyl-[1,2,4]-oxadiazol-5-one derivatives with phenyl group in all its stereoisomeric forms and mixtures in any ratio, and its physiologically acceptable salts and tautomeric forms showing PPARdelta agonist activity.What is described are compounds of the formula I,wherein the radicals are as defined, and their physiologically acceptable salts and processes for their preparations. The compounds are suitable for the treatment and/or prevention of disorders of fatty acid metabolism and glucose utilization disorders as well as of disorders in which insulin resistance is involved and demyelinating and other neurodegenerative disorders of the central and peripheral nervous system.本發明係有關一種具有PPAR δ促效劑活性之具苯基之苯基-[1,2,4]-二唑-5-酮衍生物之所有立體異構型及其依任何比例形成之混合物,及其生理上可接受之鹽與生理功能衍生物。本發明說明一種式I化合物,其中基團如本文中定義,與其生理上可接受之鹽及其製法。該等化合物適用於治療與/或預防脂肪酸代謝病變與葡萄糖利用病變,及其中涉及胰島素抗性及中樞與周邊神經系統之脫髓鞘與其他神經變性病變。