Teoria De Puntos Criticos De Funciones Localmente Lipschitzianas Y Sus Aplicaciones.
The block-grid method for solving Laplace's equation on polygons with nonanalytic boundary conditions.
The boundary-value problems for Laplace equation and domains with nonsmooth boundary
Dirichlet, Neumann and Robin problem for the Laplace equation is investigated on the open set with holes and nonsmooth boundary. The solutions are looked for in the form of a double layer potential and a single layer potential. The measure, the potential of which is a solution of the boundary-value problem, is constructed.
The boundedness of classical operators on variable spaces.
The Carleman formula for the Helmholtz equation on the plane.
The combination of approximate solutions for accelerating the convergence
The Contraction Number of a Multigrid Method for Solving the Poisson Equation.
The Convergence of a Direct BEM for the Plane Mixed Boundary Value Problem of the Laplacian.
The Dirichlet problem for harmonic functions with boundary values from Zygmund classes.
The Dirichlet problem for harmonic maps from the disk into the euclidean n-sphere
The Dirichlet Problem for Sublaplacians on Nilpotent Gruops - Geometric Criteria For Regularity.
The Dirichlet problem in weighted spaces on a dihedral domain
We examine the Dirichlet problem for the Poisson equation and the heat equation in weighted spaces of Kondrat'ev's type on a dihedral domain. The weight is a power of the distance from a distinguished axis and it depends on the order of the derivative. We also prove a priori estimates.
The evaluation of two-dimensional lattice sums via Ramanujan's theta functions
We analyze various generalized two-dimensional lattice sums, one of which arose from the solution to a certain Poisson equation. We evaluate certain lattice sums in closed form using results from Ramanujan's theory of theta functions, continued fractions and class invariants. Many explicit examples are given.
The Finite Element Method with Non-Uniform Mesh Sizes Applied to the Exterior Helmholtz Problem.
The first eigenvalue of -Laplacian systems with nonlinear boundary conditions.
The free laplacian with attractive boundary conditions
The -expansion method for solving the combined and the double combined sinh-cosh-Gordon equations.
The version of the finite element method with quasiuniform meshes
The index of isolated critical points and solutions of elliptic equations in the plane
The integrability of new two-component KdV equation.