الحلول الكونية لبعض مشاكل القطع الناقص الغير الخطية بجانب واحد في فضاءات سبوليف متماثل الخواص

Entropy solutions for some nonlinear elliptic unilateral problems in anisotropic Sobolev spaces Dr. Mohammed Al-Houmi

Abstract

this paper, we consider the following nonlinear elliptic unilateral equations

of the type

In the anisotropic Sobolev space, we prove the existence of entropy solutions for

our unilateral problem, the function  is a nonlinear lower order term

with natural growth with respect to , satisfying the sign condition and the

datum f belongs to .