A priori regularity for weak solutions of some nonlinear elliptic equations
A Priori Schranken für die Ableitungen der Lösungen gewisser elliptischer Differentialgleichungssysteme.
A priori-Schranken für diskrete Lösungen monotoner Operatorgleichungen und Anwendungen.
A Property of Biharmonic Functions with Dirichlet Finite Laplacians.
A Property of Measures in Rn and an Application to Unique Continuation.
A Quadratic Finite Element Method for solving Biharmonic Problems in IRn.
A Quadrature-Based Approach to Improving the Collocation Method.
A Quantitative Discrete H2-Regularity Estimate for the Shortley-Weller Scheme in Convex Domains.
A quasi-dual Lagrange multiplier space for serendipity mortar finite elements in 3D
Domain decomposition techniques provide a flexible tool for the numerical approximation of partial differential equations. Here, we consider mortar techniques for quadratic finite elements in 3D with different Lagrange multiplier spaces. In particular, we focus on Lagrange multiplier spaces which yield optimal discretization schemes and a locally supported basis for the associated constrained mortar spaces in case of hexahedral triangulations. As a result, standard efficient iterative solvers as...
A quasi-dual Lagrange multiplier space for serendipity mortar finite elements in 3D
Domain decomposition techniques provide a flexible tool for the numerical approximation of partial differential equations. Here, we consider mortar techniques for quadratic finite elements in 3D with different Lagrange multiplier spaces. In particular, we focus on Lagrange multiplier spaces which yield optimal discretization schemes and a locally supported basis for the associated constrained mortar spaces in case of hexahedral triangulations. As a result, standard efficient iterative solvers...
A quasistatic contact problem with unilateral constraint and slip-dependent friction
We consider a mathematical model of a quasistatic contact between an elastic body and an obstacle. The contact is modelled with unilateral constraint and normal compliance, associated to a version of Coulomb's law of dry friction where the coefficient of friction depends on the slip displacement. We present a weak formulation of the problem and establish an existence result. The proofs employ a time-discretization method, compactness and lower semicontinuity arguments.
A Radó type theorem for -harmonic functions in the plane.
A rapid convergence method for a singular perturbation problem
A refinement of the radial Pohozaev identity
In this article we produce a refined version of the classical Pohozaev identity in the radial setting. The refined identity is then compared to the original, and possible applications are discussed.
A regularity criterion for positive weak solutions of -...u = u... .
A regularity property of -harmonic functions.
A regularity result for a convex functional and bounds for the singular set
In this paper we prove a regularity result for local minimizers of functionals of the Calculus of Variations of the typewhere Ω is a bounded open set in , u∈(Ω; ), p> 1, n≥ 2 and N≥ 1. We use the technique of difference quotient without the usual assumption on the growth of the second derivatives of the function f. We apply this result to give a bound on the Hausdorff dimension of the singular set of minimizers.
A regularity result for boundary value problems on Lipschitz domains
A Regularity Result for Nonlinear Elliptic Systems.
A regularity result for p-harmonic equations with measure data.
We examine the p-harmonic equation div |grad u|(p-2). grad u = mu, where mu is a bounded Radon measure. We determine a range of p's for which solutions to the equation verify an a priori estimate. For such p's we also prove a higher integrability result.