Massimo Lanza de Cristoforis (OTDE-Workshop, III-2026)

The presentation was delivered at the Workshop on Operator Theory in Function Spaces and its Applications, dedicated to the anniversary of Professor Victor Burenkov, (September 28–30, 2026, held online)." Speaker: Massimo Lanza de Cristoforis. Title: «Integral Identities and Inequalities for the Equations of the Electromagnetism in a Nonvariational Setting». Abstract: we consider Hölder continuous solutions that may have an infinite Dirichlet integral and thus do not belong to the classical variational setting. In this context, we present a version of the Helmholtz-Weyl Decomposition Theorem for spaces of Hölder continuous functions, along with explicit formulas for the projection operators. Official page of the Workshop on the website of the SJMI VSC RAS: https://smath.ru/activities/upcoming/19688/en/ -Vladikavkaz Scientific Center of the RAS (Southern Mathematical Institute; North-Caucasus Center for Mathematical Research*); -Lomonosov Moscow State University (Faculty of Mechanics and Mathematics, Department of General Control Problems); -Peoples' Friendship University of Russia named after Patrice Lumumba (S.M. Nikol’skii Mathematical Institute). *Workshop was held with the support of the Ministry of Science and Higher Education of Russian Federation under Agreement № 075-02-2026-738.