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.
A regularity result for polyharmonic variational inequalities with thin obstacles
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 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 Fefferman's equation in non-smooth domains.
A remark on ground state solutions for Lane-Emden-Fowler equations with a convection term.
A remark on -harmonic functions on Riemannian manifolds.
A remark on infinity harmonic functions.
A remark on Morrey type regularity for nonlinear elliptic systems of second order
A remark on multiplicity of solutions for the Ginzburg-Landau equation
A remark on perturbed elliptic equations of Caffarelli-Kohn-Nirenberg type.
Using a perturbation argument based on a finite dimensional reduction, we find positive solutions to a given class of perturbed degenerate elliptic equations with critical growth.
A remark on Schrödinger's equation with a short range potential