The p-harmonic system with measure-valued right hand side

The P-harmonic System with Measure-valued Right Hand Side

{ For 2 ? 1 n < p < n we prove existence of a distributional solution u of the p-harmonic system ? div(jruj p?2 ru) = in ,

Non-linear elliptic systems with measure-valued right hand side

We prove existence of a solution u for the nonlinear elliptic system -div a(x,u,Du) =/ i in V(Q,), u = 0 on dfl where \x is Radon measure on Q with finite mass. In particular we show that if the coercivity rate of a lies in the range (1,2 — ^] then u is approximately differentiable and the equation holds with Du replaced by ap Du. The proof relies on an approximation of // by smooth functions f...

On the averaging of differential inclusions with Fuzzy right hand side with the average of the right hand side is absent

In this article we consider the averaging method for differential inclusions with fuzzy right-hand side for the case when the limit of a method of an average does not exist. 

Uniqueness and Maximal Regularity for Nonlinear Elliptic Systems of N-laplace Type with Measure Valued Right Hand Side

on the averaging of differential inclusions with fuzzy right hand side with the average of the right hand side is absent

in this article we consider the averaging method for differential inclusions with fuzzy right-hand side for the case when the limit of a method of an average does not exist.