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math.MG2013★ 4 cited
BV Minimizers of the area functional in the Heisenberg group under the bounded slope condition
Andrea Pinamonti, Francesco Serra Cassano, Giulia Treu +1
We consider the area functional for t-graphs in the sub-Riemannian Heisenberg group and study minimizers of the associated Dirichlet problem. We prove that, under a bounded slope c…
math.AP2013
Symmetry results for nonlinear elliptic operators with unbounded drift
Alberto Farina, Matteo Novaga, Andrea Pinamonti
We prove the one-dimensional symmetry of solutions to elliptic equations of the form $-\dive(e^{G(x)}a(|\nabla u|)\nabla u)=f(u) e^{G(x)}$, under suitable energy conditions. Our re…