In 1958 Sobolev was part of the Soviet delegation to the International Mathematical Union, the delegation being led by Vinogradov, and Sobolev attended the International Congress at Edinburgh that year and gave an invited address on partial differential equations.
Sa 1958 Sobolev ay bahagi ng Sobiyet delegasyon sa International matematiko Union, ang delegasyon na humantong sa pamamagitan ng Vinogradov, at Sobolev, nag-aral sa International Congress at Edinburgh na taon at ibinigay ng isang inanyayahan address sa bahagyang kaugalian equation.