Uniqueness of {\sigma}-regular solutions of quasilinear elliptic problems

We study the uniqueness problem of $\sigma$-regular solution of the equation, -\Delta_p u+ \abs u^{q-1}u =h \quad on\quad \RN, where $q>p-1>0.$ and $N> p.$ Other coercive type equations associated to more general differential operators are also investigated. Our uniqueness results hold for equations associated to the mean curvature type operators as well as for more general quasilinear subelliptic operators.Comment: 28 pages. arXiv admin note: text overlap with arXiv:1209.190

Entire solutions of quasilinear elliptic systems on Carnot Groups

We prove general a priori estimates of solutions of a class of quasilinear elliptic system on Carnot groups. As a consequence, we obtain several non existence theorems. The results are new even in the Euclidean setting.Comment: 21 pages submitte

On some multicomponent quasilinear elliptic systems

The paper contains some Liouville theorems for second order multicomponent quasilinear elliptic systems of equations or inequalities in RN associated to general nonlinearities. No assumptions on the behaviour of the solutions at infinity are assumed