Multiple solutions for a class of fourth-order elliptic equations with critical growth

In this article, we study the semilinear biharmonic problem with a critical growth: Δ2u=μQ(x)∣u∣p−2u+V(x)∣u∣2**−2uinΩ,u=Δu=0on∂Ω,\left\{\begin{array}{ll}{\Delta }^{2}u=\mu Q\left(x){| u| }^{p-2}u+V\left(x){| u| }^{{2}^{* * }-2}u\hspace{1.0em}& \hspace{0.1em}\text{in}\hspace{0.1em}\hspace{0.33em}...

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Bibliographic Details
Main Authors: Tian Guaiqi, Lei Jun, An Yucheng
Format: Article
Language:English
Published: De Gruyter 2025-04-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2025-0141
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