An analysis of the Darwin model of approximation to Maxwell's equations.
An analytical approach for quasi-linear equation in second order.
An analytical index formula for elliptic pseudo-differential boundary problems in the half-space
An application of eigenfunctions of -Laplacians to domain separation
We are interested in algorithms for constructing surfaces of possibly small measure that separate a given domain into two regions of equal measure. Using the integral formula for the total gradient variation, we show that such separators can be constructed approximatively by means of sign changing eigenfunctions of the -Laplacians, , under homogeneous Neumann boundary conditions. These eigenfunctions turn out to be limits of steepest descent methods applied to suitable norm quotients.
An application of the dual variational principle to a Hamiltonian system with discontinuous nonlinearities.
An application of the method of spectral functions to the problem of scattering by two wedges.
An application to Kato's square root problem.
An approximation theorem for solutions of degenerate semilinear elliptic equations
The main result establishes that a weak solution of degenerate semilinear elliptic equations can be approximated by a sequence of solutions for non-degenerate semilinear elliptic equations.
An approximation theorem in higher order Orlicz-Sobolev spaces and applications
An asymmetric Neumann problem with weights
An Asymptotic Finite Element Method for Improvement of Solutions of Boundary Layer Problems.
An asymptotic formula for the Green's function of an elliptic operator
An asymptotically optimal model for isotropic heterogeneous linearly elastic plates
In this paper, we derive and analyze a Reissner-Mindlin-like model for isotropic heterogeneous linearly elastic plates. The modeling procedure is based on a Hellinger-Reissner principle, which we modify to derive consistent models. Due to the material heterogeneity, the classical polynomial profiles for the plate shear stress are replaced by more sophisticated choices, that are asymptotically correct. In the homogeneous case we recover a Reissner-Mindlin model with as shear correction factor....
An asymptotically optimal model for isotropic heterogeneous linearly elastic plates
In this paper, we derive and analyze a Reissner-Mindlin-like model for isotropic heterogeneous linearly elastic plates. The modeling procedure is based on a Hellinger-Reissner principle, which we modify to derive consistent models. Due to the material heterogeneity, the classical polynomial profiles for the plate shear stress are replaced by more sophisticated choices, that are asymptotically correct. In the homogeneous case we recover a Reissner-Mindlin model with 5/6 as shear correction...
An augmented Lagrangian approach to the numerical solution of the Dirichlet problem for the elliptic Monge-Ampère equation in two dimensions.
An eigenvalue problem related to Hardy’s inequality
An elastic membrane with an attached non-linear thermoelastic rod
We study a thermo-mechanical system consisting of an elastic membrane to which a shape-memory rod is glued. The slow movements of the membrane are controlled by the motions of the attached rods. A quasi-static model is used. We include the elastic feedback of the membrane on the rods. This results in investigating an elliptic boundary value problem in a domain Ω ⊂ R^2 with a cut, coupled with non-linear equations for the vertical motions of the rod and the temperature on the rod. We prove the existence...
An elementary proof for one-dimensionality of travelling waves in cylinders.
An Elementary Proof of Harnack's Inequality for Schrödinger Operators and Related Topics.
An elementary proof of the Harnack inequality for non-negative infinity-superharmonic functions.