1,047 research outputs found
Uniqueness of {\sigma}-regular solutions of quasilinear elliptic problems
We study the uniqueness problem of -regular solution of the equation,
-\Delta_p u+ \abs u^{q-1}u =h \quad on\quad \RN, where and 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
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