On positive stable solutions to weighted quasilinear problems with negative exponent
On positive stable solutions to weighted quasilinear problems with negative exponent
Source title:
Complex Variables and Elliptic Equations,
2017
(ISI)
Academic year of acceptance:
2018-2019
Abstract:
Let
and
, we prove the nonexistence of positive stable
solutions of weighted quasilinear problem
The result holds true for or
and
, which is a positive critical exponent. Here
and
are nonnegative functions such that
and
for large |x|. We also construct an example to show the sharpness of our result.