On a Liouville comparison principle for entire weak solutions of quasilinear elliptic partial differential inequalities

We establish a new Liouville-type comparison principle for entire weak solutions of quasilinear elliptic partial differential inequalities of the form $A(u)?A(v)$ on ${\mathbb{R}}^n$, $n?2$. Typical examples of the operator $A(w)$ are the p-Laplacian and its well-known modifications for $1<p?2$. To cite this article: V.V. Kurta, C. R. Acad. Sci. Paris, Ser. I 339 (2004).