4 citations · 19 across the 29 of their papers we have counts for
Showing 2012Show all
3 papers · 1 filter
math.AP2012
Symmetry results for stable and monotone solutions to fibered systems of PDEs
Serena Dipierro, Andrea Pinamonti
We study the symmetry properties for solutions of elliptic systems of the type {ll}-\dive(a_1(x,|\nabla u^1|(X))\nabla u^1(X))=F_{1}(x, u^1(X),..., u^n(X)), ... -\dive(a_n(x,|\nabl…
math.AP2012
A geometric inequality and a symmetry result for elliptic systems involving the fractional Laplacian
Serena Dipierro, Andrea Pinamonti
We study the symmetry properties for solutions of elliptic systems of the type (-Δ)^{s_1} u = F_1(u, v), (-Δ)^{s_2} v= F_2(u, v), where , $s_1,s_2\in (0,1…
math.AP2012
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…