convergence and localization of the support of solutions of semilinear elliptic equations;
invariant linear connections.
Main publications:
S.V.Pikulin, “The Thomas — Fermi Problem and Solutions of the Emden — Fowler Equation”, Computational Mathematics and Mathematical Physics, 59:8 (2019), 1292–1313Springer
S.V.Pikulin, “Traveling-Wave Solutions of the Kolmogorov–Petrovskii–Piskunov Equation”, Computational Mathematics and Mathematical Physics, 58:2 (2018), 230–237
S. V. Pikulin, “Convergence of a family of solutions to a Fujita-type equation in domains with cavities”, Comput. Math. Math. Phys., 56:11 (2016), 1872–1900; Comput. Math. Math. Phys., 56:11 (2016), 1872–1900
S. V. Pikulin, E. A. Tevelev, “Invariant linear connections on homogeneous symplectic varieties”, Transformation Groups, 6:2 (2001), 193–198connections.pdf, arXiv: math/9912091
