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Nonexistence results of positive solutions of Heisenberg Hessian equations and inequalities on the Heisenberg group

open access: yesAnalysis and Geometry in Metric Spaces
In this article, we study Liouville type theorems of fully nonlinear elliptic partial differential equations on the Heisenberg group and obtain some nonexistence results of positive solutions of Heisenberg Hessian equations (and inequalities), including ...
Chen Chuanqiang, Ma Yan
doaj   +1 more source

Liouville theorems of solutions to mixed order Hénon-Hardy type system with exponential nonlinearity

open access: yesAdvanced Nonlinear Studies
In this paper, we are concerned with the Hénon-Hardy type systems with exponential nonlinearity on a half space R+2 ${\mathbb{R}}_{+}^{2}$ : (−Δ)α2u(x)=|x|aup1(x)eq1v(x),x∈R+2,(−Δ)v(x)=|x|bup2(x)eq2v(x),x∈R+2, $\begin{cases}{\left(-{\Delta}\right ...
Dai Wei, Peng Shaolong
doaj   +1 more source
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A Liouville-type theorem for the inequality Δu≥f(u)

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Nonexistence of Positive Supersolutions of Elliptic Equations via the Maximum Principle

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Scott N Armstrong, Boyan Sirakov
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