Subelliptic equations with singular nonlinearities on the Heisenberg group
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DOI: 10.1186/s13661-018-0925-y
Abstract: AbstractIn this paper, we consider the Dirichlet boundary value problem to singular semilinear subelliptic equation on the Heisenberg group −ΔHu=1uγ+f(u),γ>0.$$-\Delta_{\mathbb{H}}u=\frac{1}{u^{\gamma}}+f(u), \quad \gamma>0. $$ We prove the positivity and continuity up to the boundary for the… read more here.
Keywords: subelliptic equations; equations singular; singular nonlinearities; group ... See more keywords