97 citations · 221 across the 19 of their papers we have counts for
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math.AP2015
Explicit estimates for solutions to higher order elliptic PDEs via Morse index
Foued Mtiri, Abdellaziz Harrabi, Dong Ye
In this paper, we establish and estimates for solutions of some polyharmonic elliptic equations via the Morse index. As far as we know, it seems to be the firs…
math.AP2015★ 1 cited
Existence of stable solutions to in with and
Xia Huang, Dong Ye
We consider the polyharmonic equation in with and . We prove the existence of many entire stable solutions. This answer some questi…
math.AP2015★ 11 cited
Conformal metrics in with constant -curvature and arbitrary volume
Xia Huang, Dong Ye
We study the polyharmonic problem in , with . In particular, we prove that {\sl for any} , there exist radial solutions of $Δ^m…