On multigrid for linear complementarity problems with application to American-style options.
On multi-lump solutions to the non-linear Schrödinger equation.
On multi-parameter error expansions in finite difference methods for linear Dirichlet problems
The paper is concerned with the finite difference approximation of the Dirichlet problem for a second order elliptic partial differential equation in an -dimensional domain. Considering the simplest finite difference scheme and assuming a sufficient smoothness of the domain, coefficients of the equation, right-hand part, and boundary condition, the author develops a general error expansion formula in which the mesh sizes of an (-dimensional) rectangular grid in the directions of the individual...
On multiple positive solutions of positone and non-positone problems.
On multiple solutions for nonhomogeneous system of elliptic equations.
On multiple solutions of concave and convex nonlinearities in elliptic equation on .
On multiple solutions of the Neumann problem involving the critical Sobolev exponent
We consider the Neumann problem involving the critical Sobolev exponent and a nonhomogeneous boundary condition. We establish the existence of two solutions. We use the method of sub- and supersolutions, a local minimization and the mountain-pass principle.
On multiply connected mesoscopic superconducting structures
On multiquasielliptic equations in .
On multiresolution methods in numerical analysis.
On necessary and sufficient conditions for stabilization of the solutions of the Cauchy problem for systems of non-stationary equations of non- classical type
On Neumann boundary value problems for elliptic equations
We provide two existence results for the nonlinear Neumann problem ⎧-div(a(x)∇u(x)) = f(x,u) in Ω ⎨ ⎩∂u/∂n = 0 on ∂Ω, where Ω is a smooth bounded domain in , a is a weight function and f a nonlinear perturbation. Our approach is variational in character.
On Neumann boundary value problems for some quasilinear elliptic equations.
On Neumann elliptic problems with discontinuous nonlinearities
In this paper we study a class of nonlinear Neumann elliptic problems with discontinuous nonlinearities. We examine elliptic problems with multivalued boundary conditions involving the subdifferential of a locally Lipschitz function in the sense of Clarke.
On Neumann hemivariational inequalities.
On Neumann's problem for a quasilinear differential system of the finite elastostatics type. Local theorems of existence and uniqueness
On nodal lines of Neumann eigenfunctions.
On nodal radial solutions of an elliptic problem involving critical Sobolev exponent
In this paper we construct radial solutions of equation (1) (and (13)) having prescribed number of nodes.
On nodal sets and nodal domains on and
We discuss possible topological configurations of nodal sets, in particular the number of their components, for spherical harmonics on . We also construct a solution of the equation in that has only two nodal domains. This equation arises in the study of high energy eigenfunctions.
On noncompact free boundary problems for the plae stationary Navier-Stokes equations.