2 papers
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…