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 a solid-fluid system associated to the compressible Navier-Stokes equations
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.
A regularity result for polyharmonic variational inequalities with thin obstacles
A regularity theorem for curvature flows.
A regularity theorem for linear second order elliptic divergence equations
A regularized Newton method in electrical impedance tomography using shape Hessian information
A Relaxation Procedure for Domain Decomposition Methods Using Finite Elements.
A relaxation theorem in the space of functions of bounded deformation
A remark about a Galerkin method
It is shown that the approximating equations whose existence is required in the author's previous work on partially regular weak solutions can be constructed without any additional assumption about the equation itself. This leads to a variation of a Galerkin method.
A remark about elliptic overdeterminated systems
A remark concerning the dependence on the initial data of the solution of the Cauchy problem for a linear equation with analytic coefficients
A Remark on a boundary contact problem in linear elasticity.
A remark on a Harnack inequality for degenerate parabolic equations
A remark on a paper by Bhattacharya and Leonetti
We prove higher integrability for the gradient of bounded minimizers of some variational integrals with anisotropic growth.
A remark on a parabolic problem in a sectorial domain.
A remark on approximate solving of a class of initial-boundary value problems