Gutlyanskiĭ, V.Ya.; Nesmelova, O.V.; Ryazanov, V.I.
(Доповіді НАН України, 2019)
We study the Dirichlet problem for the semilinear partial differential equations div (A∇u) = f (u) in simply connected domains D of the complex plane C with continuous boundary data. We prove the existence of the weak ...