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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…
math.AP2011★ 1 cited
A Lewy-Stampacchia Estimate for quasilinear variational inequalities in the Heisenberg group
Andrea Pinamonti, Enrico Valdinoci
We consider an obstacle problem in the Heisenberg group framework, and we prove that the operator on the obstacle bounds pointwise the operator on the solution. More explicitly, if…