@Article{JNMA-6-1,
author = {Ziqing, Yuan and Sheng, Liu},
title = {Existence and Multiplicity of Solutions for a Biharmonic Kirchhoff Equation in $\mathbb{R}^5$},
journal = {Journal of Nonlinear Modeling and Analysis},
year = {2024},
volume = {6},
number = {1},
pages = {71--87},
abstract = {<p style="text-align: justify;">We consider the biharmonic equation $∆^2u− (a+b\int_{\mathbb{R}^5} |∇u|^2
dx) ∆u
+ V (x)u = f(u),$ where $V(x)$ and $f(u)$ are continuous functions. By using a
perturbation approach and the symmetric mountain pass theorem, the existence and multiplicity of solutions for this equation are obtained, and the
power-type case $f(u) = |u|^ {p−2}u$ is extended to $p ∈ (2, 10),$ where it was assumed $p ∈ (4, 10)$ in many papers.</p>},
issn = {2562-2862},
doi = {https://doi.org/10.12150/jnma.2024.71},
url = {https://global-sci.com/article/91139/existence-and-multiplicity-of-solutions-for-a-biharmonic-kirchhoff-equation-in-mathbbr5}
}