We consider the Dirichlet problem in a four-dimensional domain formed by characteristic surfaces of an equation of the 8th order with the doublemajor partial derivative. We state sufficient conditions for the unique ...

© 2019 Russian Academy of Sciences (DoM), London Mathematical Society, Turpion Ltd. The Dirichlet problem is considered in arbitrary domains for a class of second-order anisotropic elliptic equations with variable nonlinearity ...

© 2018, Pleiades Publishing, Ltd. We consider a class of anisotropic elliptic differential equations of second order with divergent form and variable exponents. The corresponding elliptic operators are pseudo-monotone and ...

© 2015 Nikolai Pleshchinskii, Kristina Stekhina and Dmitrii Tumakov. In the present work, the Dirichlet problem for Lame equations in the strip is considered. A characteristic equation for the problem is obtained. It is ...

In this paper we apply the method of potentials for studying the Dirichlet and Neumann boundary-value problems for a B-elliptic equation in the form δ x″u + B xp 1u + x p -α ∂/∂x p(x p α∂u/∂x p) = 0 , where δx″ = sum p-2 ...

В настоящей работе с помощью обобщённого дискретного преобразования Фурье строятся почти-периодические в смысле Бора решения задач Дирихле и Неймана для полупространства и пространственного слоя, задач о свободном колебании ...