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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…