Zobrazeno 1 - 10
of 47
pro vyhledávání: '"Gutlyanskiĭ, Vladimir"'
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
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
Recall that the Hilbert (Riemann-Hilbert) boundary value problem for the Beltrami equations was recently solved for general settings in terms of nontangential limits and principal asymptotic values. Here it is developed a new approach making possible
Externí odkaz:
http://arxiv.org/abs/1511.02798
We show that every homeomorphic $W^{1,1}_{\rm loc}$ solution $f$ of a Beltrami equation $\overline{\partial}f=\mu\,\partial f$ in a domain $D\subseteq\Bbb C$ is the so--called ring $Q-$homeomorphism with $Q(z)=K^T_{\mu}(z, z_0)$ where $K^T_{\mu}(z, z
Externí odkaz:
http://arxiv.org/abs/1503.08832
Autor:
Gutlyanskiĭ, Vladimir1 (AUTHOR) vgutlyanskii@gmail.com, Ryazanov, Vladimir1 (AUTHOR), Nesmelova, Olga1 (AUTHOR), Yakubov, Eduard2 (AUTHOR)
Publikováno v:
Journal of Mathematical Sciences. Jun2023, Vol. 273 Issue 3, p351-376. 26p.
Publikováno v:
Topological Methods in Nonlinear Analysis; 2024, Vol. 64 Issue 1, p163-199, 37p
Autor:
Gutlyanskiĭ, Vladimir1 (AUTHOR) vgutlyanskii@gmail.com, Ryazanov, Vladimir1,2 (AUTHOR), Nesmelova, Olga1 (AUTHOR), Yakubov, Eduard3 (AUTHOR)
Publikováno v:
Journal of Mathematical Sciences. Feb2023, Vol. 270 Issue 3, p428-448. 21p.
We study the boundary correspondence under $\mu$-homeomorphisms $f$ of the open upper half-plane onto itself. Sufficient conditions are given for $f$ to admit a homeomorphic extension to the closed half-plane with prescribed boundary regularity. The
Externí odkaz:
http://arxiv.org/abs/1102.4987
Publikováno v:
Journal of Mathematical Sciences; Feb2024, Vol. 279 Issue 1, p37-66, 30p
Autor:
Gutlyanskiĭ, Vladimir1 (AUTHOR) vgutlyanskii@gmail.com, Nesmelova, Olga1 (AUTHOR), Ryazanov, Vladimir1,2 (AUTHOR), Yefimushkin, Artyem1 (AUTHOR)
Publikováno v:
Journal of Mathematical Sciences. Nov2021, Vol. 259 Issue 1, p53-74. 22p.