We consider non-linear elliptic equations having a measure in the right-hand side, of the
type div a (x, Du)= µ, and prove differentiability and integrability results for solutions. New …

We show sharp local a priori estimates and regularity results for possibly degenerate non-
linear elliptic problems, with data not lying in the natural dual space. We provide a precise …

We prove existence of a solution ufor the nonlinear elliptic system-div a (x, u, Du)=/i inVf (Q,),
u= 0 ondfl where\xis Radon measure onQwith finite mass. In particular we show that if the …

The foundation and a systematic study of variational inequalities date back to the 1960s of
the last century and began with the work of Fichera [113] and Stampacchia [225, 226], which …

Uniqueness and maximal regularity for nonlinear elliptic systems of n-Laplace type with
measure valued right hand side Page 1 J. reine angew. Math. 520 (2000), 1Ð35 Journal …

Boundary value problems for a class of quasilinear elliptic equations, with an Orlicz type
growth and L 1 right-hand side are considered. Both Dirichlet and Neumann problems are …

1. Introduction Page 1 THE FAST DIFFUSION EQUATION WITH MEASURE DATA TEEMU
LUKKARI Abstract. We show the existence of solutions to the fast diffusion equation with a …

We prove the uniqueness property for a class of entire solutions to the equation {− div A (x,∇
u)= σ, u≥ 0 in Rn, lim inf| x|→∞ u= 0, where σ is a nonnegative locally finite measure in Rn …

Renormalized solutions of Dirichlet problems for quasilinear elliptic equations with general
measure data Page 1 Hiroshima Math. J. 38 (2008), 51–93 Renormalized solutions of Dirichlet …

This is a survey on problems involving equations $-\operatorname {div}{\Cal A}(x,\nabla
u)=\mu $, where $\mu $ is a Radon measure and ${\Cal A}:\bold {R}^ n\times\bold R …