Subelliptic equations with singular nonlinearities on the Heisenberg group

Abstract In this paper, we consider the Dirichlet boundary value problem to singular semilinear subelliptic equation on the Heisenberg group − Δ H u = 1 u γ + 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 th...

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Bibliographic Details
Main Authors: Xinjing Wang, Yongzhong Wang
Format: Article
Language:English
Published: SpringerOpen 2018-01-01
Series:Boundary Value Problems
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13661-018-0925-y