Existence results for nonhomogeneous Choquard equation involving p-biharmonic operator and critical growth
Year: 2025
Type: article
Abstract: In this article, we are interested in the existence of nontrivial solutions for the following nonhomogeneous Choquard equation involving the p p -biharmonic operator: M ∫ Ω ∣ Δ u ∣ p d x Δ p 2 u − Δ p u = λ ( ∣ x ∣ − μ ⁎ ∣ u ∣ q ) ∣ u ∣ q − 2 u + ∣ u ∣ p * − 2 u + f , in Ω , u = Δ u = 0 , on ∂ Ω , \left\{\begin{array}{l}M\left(\mathop{\displaystyle \int }\limits_{\Omega }{| \Delta u| }^{p}{\rm{d}}x\right){\Delta }_{p}^{2}u-{\Delta }_{p}u=\lambda \left({| x| }^{-\mu }\ast {| u| }^{q}){| u| }^{q-2}u+{| u| }^{{p}^{* }-2}u+f,\hspace{1em}{\rm{in}}\hspace{0.33em}\Omega ,\\ u=\Delta u=0,\hspace{1em}{\rm{on}}\hspace{0.33em}\partial \Omega ,\end{array}\right. where
Source: Demonstratio Mathematica
Authors: Quan Hai, Jing Zhang
Institution: Inner Mongolia Normal University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,187
OpenAlex ID: W4408914787