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20182025
most citedExistence and Non-existence of Ground states of bi-harmonic equations involving constant and degenerate Rabinowitz potentials

1 citations · 2 across the 5 of their papers we have counts for

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Showing 2021Show all

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math.AP2021★ 1 cited

Existence and Non-existence of Ground states of bi-harmonic equations involving constant and degenerate Rabinowitz potentials

Lu Chen, Guozhen Lu, Maochun Zhu

Recently, the authors of the current paper established in [9] the existence of a ground-state solution to the following bi-harmonic equation with the constant potential or Rabinowi…

math.AP2021★ 1 cited

Sharp critical and subcritical trace Trudinger-Moser and Adams inequalities on the upper half spaces

Lu Chen, Guozhen Lu, Qiaohua Yang +1

In this paper, we establish the sharp critical and subcritical trace Trudinger-Moser and Adams inequalities on the half spaces and prove the existence of their extremals through th…

math.AP2021

Sharp subcritical Sobolev inequalities and uniqueness of nonnegative solutions to high-order Lane-Emden equations on

Lu Chen, Guozhen Lu, Yansheng Shen

In this paper, we are concerned with the uniqueness result for non-negative solutions of the higher-order Lane-Emden equations involving the GJMS operators on . Since…