Перегляд за автором "Gutlyanskii, V.Y."

Сортувати за: Порядок: Результатів:

  • On a model semilinear elliptic equation in the plane 
    Gutlyanskii, V.Y.; Nesmelova, O.V.; Ryazanov, V.I. (Український математичний вісник, 2016)
    Assume that Ω is a regular domain in the complex plane C and A(z) is symmetric 2 × 2 matrix with measurable entries, det A = 1 and such that 1/K|ξ|² ≤ 〈A(z)ξ, ξ〉 ≤ K|ξ|², ξ ∊ R², 1 ≤ K < ∞. We study the blow-up problem ...
  • On quasiconformal maps and semi-linear equations in the plane 
    Gutlyanskii, V.Y.; Nesmelova, O.V.; Ryazanov, V.I. (Український математичний вісник, 2017)
    Assume that Ω is a domain in the complex plane C and A(z) is symmetric 2× 2 matrix function with measurable entries, det A = 1 and such that 1/K|ξ|²≤ 〈A(z)ξ, ξ〉 ≤ K|ξ|², ξ ∊ R², 1 ≤ K < ∞. In particular, for semi-linear ...
  • On recent advances in boundary value problems in the plane 
    Gutlyanskii, V.Y.; Ryazanov, V.I. (Український математичний вісник, 2016)
    The survey is devoted to recent advances in nonclassical solutions of the main boundary value problems such as the well–known Dirichlet, Hilbert, Neumann, Poincare and Riemann problems in the plane. Such solutions are ...
  • On the boundary-value problems for quasiconformal functions in the plane 
    Gutlyanskii, V.Y.; Ryazanov, V.I.; Yefimushkin, A.S. (Український математичний вісник, 2015)
    Generalized solvability of the classical boundary value problems for analytic and quasiconformal functions in arbitrary Jordan domains with boundary data that are measurable with respect to the logarithmic capacity is ...
  • The Beltrami equations and prime ends 
    Gutlyanskii, V.Y.; Ryazanov, V.I.; Yakubov, E. (Український математичний вісник, 2015)
    We first study the boundary behavior of ring Q-homeomorphisms in terms of Carath´eodory’s prime ends and then give criteria to the solvability of the Dirichlet problem for the degenerate Beltrami equation ∂f = μ∂f in ...