49 citations · 152 across the 11 of their papers we have counts for
4 papers · 2 filters
Uniqueness of σ-regular solutions of quasilinear elliptic problems
Lorenzo D'Ambrosio, Enzo Mitidieri
We study the uniqueness problem of -regular solution of the equation, $$-Δ_p u+ \abs u^{q-1}u =h \quad on\quad \RN, $$ where and Other coercive type equations…
Hardy inequalities on Riemannian manifolds and applications
Lorenzo D'Ambrosio, Serena Dipierro
We prove a simple sufficient criteria to obtain some Hardy inequalities on Riemannian manifolds related to quasilinear second-order differential operator $Δ_{p}u := \Div(\abs{\nabl…
A new critical curve for a class of quasilinear elliptic systems
Lorenzo D'Ambrosio
We study a class of systems of quasilinear differential inequalities associated to weakly coercive differential operators and power reaction terms. The main model cases are given b…
Entire solutions of quasilinear elliptic systems on Carnot Groups
Lorenzo D'Ambrosio, Enzo Mitidieri
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…