torsional rigidity, Euclidean moments of the domain with respect to its boundary, isoperimetric inequalities, convex domains, distance to the boundary of domain
Subject:
Isoperimetric inequalities in mathematical physics
Main publications:
L. I. Gafiyatullina, “Analogi neravenstv Polia—Sege i Makai dlya evklidova momenta inertsii vypukloi oblasti”, Materialy XVII Vserossiiskoi molodezhnoi shkoly-konferentsii «Lobachevskie chteniya-2018», 23-28 noyabrya 2018 g., Kazan. Chast 2, Itogi nauki i tekhn. Ser. Sovrem. mat. i ee pril. Temat. obz., 176, VINITI RAN, M., 2020, 70–79
L. I. Gafiyatullina, R. G. Salakhudinov, “A generalization of the Polia–Szego and Makai inequalities for torsional rigidity”, Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 11, 86–91; Russian Math. (Iz. VUZ), 65:11 (2021), 76–80
2020
2.
L. I. Gafiyatullina, “Analogs of the Pólya–Szegő and Macai inequalities for the Euclidean moment of inertia of a convex domain”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 176 (2020), 70–79
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