Zobrazeno 1 - 10
of 189
pro vyhledávání: '"Ryazanov Vladimir"'
Autor:
Ryazanov Vladimir
Publikováno v:
Open Mathematics, Vol 14, Iss 1, Pp 13-18 (2016)
We proved the existence of multivalent solutions with the infinite number of branches for the Riemann-Hilbert problem in the general settings of finitely connected domains bounded by mutually disjoint Jordan curves, measurable coefficients and measur
Externí odkaz:
https://doaj.org/article/cc652917a4a444b5bb68c808e4be8f90
Autor:
Ryazanov Vladimir
Publikováno v:
Open Mathematics, Vol 13, Iss 1 (2015)
It is proved that the space of solutions of the Dirichlet problem for the harmonic functions in the unit disk with nontangential boundary limits 0 a.e. has the infinite dimension.
Externí odkaz:
https://doaj.org/article/9e4cf1f24d444d5e99ab797228fa4fb4
Autor:
Ryazanov, Vladimir
In the last paper \cite{R7}, it was studied Hilbert, Poincare and Neumann boundary-value problems with arbitrary measurable data for generalized analytic functions and generalized harmonic functions with applications to the relevant problems of mathe
Externí odkaz:
http://arxiv.org/abs/2107.10665
Autor:
Ryazanov, Vladimir
The research of the Dirichlet problem with arbitrary measurable datafor harmonic functions is due to the famous dissertation of Luzin. The present paper is devoted to various theorems on the existence of nonclassical solutions of the Hilbert and Riem
Externí odkaz:
http://arxiv.org/abs/1910.12613
Autor:
Ryazanov, Vladimir
Applying the known Nyman--Beurling criterion, it is disproved the Riemann hypothesis on zeros of $\zeta -$function.
Comment: 10 pages, Substantive changes to the text
Comment: 10 pages, Substantive changes to the text
Externí odkaz:
http://arxiv.org/abs/1808.10774
We study the Dirichlet problem for the semi--linear partial differential equations ${\rm div}\,(A\nabla u)=f(u)$ in simply connected domains $D$ of the complex plane $\mathbb C$ with continuous boundary data. We prove the existence of the weak soluti
Externí odkaz:
http://arxiv.org/abs/1804.05875
Autor:
Ryazanov, Vladimir
We study various Stieltjes integrals as Poisson-Stieltjes, conjugate Poisson-Stieltjes, Schwartz-Stieltjes and Cauchy-Stieltjes and prove theorems on the existence of their finite angular limits a.e. in terms of the singular Hilbert-Stieltjes integra
Externí odkaz:
http://arxiv.org/abs/1711.02717
In this paper we study the semilinear partial differential equations in the plane the linear part of which is written in a divergence form. The main result is given as a factorization theorem. This theorem states that every weak solution of such an e
Externí odkaz:
http://arxiv.org/abs/1711.00041
Autor:
Ryazanov, Vladimir
It is established that if a harmonic function $u$ on the unit disk $\mathbb D$ in $\mathbb C$ has angular limits on a measurable set $E$ of the unit circle $\partial\mathbb D$, then its conjugate harmonic function $v$ in $\mathbb D$ also has angular
Externí odkaz:
http://arxiv.org/abs/1710.00323
Autor:
Ryazanov, Vladimir, Volkov, Sergei
It is proved criteria for continuous and homeomorphic extension to the boundary of mappings with finite distortion between domains on the Riemann surfaces by prime ends of Caratheodory.
Comment: 29 pages
Comment: 29 pages
Externí odkaz:
http://arxiv.org/abs/1704.03164