Liouville Results for Stable Solutions of Quasilinear Equations with Weights
Liouville Results for Stable Solutions of Quasilinear Equations with Weights
Source title:
Acta Mathematica Scientia, 39(2): 357-368,
2019
(ISI)
Academic year of acceptance:
2019-2020
Abstract:
This paper is devoted to the quasilinear equation
where is a (bounded or unbounded) domain of
are nonnegative continuous functions and
is an increasing function. We establish a Liouville type theorem for nontrivial stable solutions of the equation under some mild assumptions on
and
, which extends and unifies several results on this topic.