Luis F. L'opez

most citedRigidity results for non local phase transitions in the Heisenberg group

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math.AP2013★ 2 cited

Rigidity results for non local phase transitions in the Heisenberg group $H$

Luis F. López, Yannick Sire

In the Heisenberg group framework, we study rigidity properties for stable solutions of $(- Δ_{H})^{s} v = f (v)$ in $H$ , $s \in (0, 1)$ . We obtain a Poincaré type inequality in connectio…

math.AP2013★ 2 cited

Regular solutions to a supercritical elliptic problem in exterior domains

Juan Dávila, Luis F. López

We consider the supercritical elliptic problem -Δu = λe^u, λ> 0, in an exterior domain $Ω = R^{N} ∖ D$ under zero Dirichlet condition, where D is smooth and bounded i…