Year: 2025
Type: article
Abstract: The authors consider the triharmonic equation $$ (-\Delta)^3u+c_1\Delta^2 u+c_2\Delta u=h(x)|u|^{p-2} u+g(x,u)$$ in \(\Omega\), where \(p\in(1,2)\), subject to Navier boundary conditions. Based on the least action principle, the Ekeland's variational principle and a variant version of mountain pass lemma, we analyze the existence and multiplicity of nontrivial solutions to the above problem. In addition, we obtain the first eigenvalue of triharmonic operator and consider its structure. The conclusions are illustrated with several examples. For more information see https://ejde.math.txstate.edu/Volumes/2025/86/abstr.html
Authors: Qifan Wei, Xuemei Zhang
Institution: North China Electric Power University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
Award: G6412647616
OpenAlex ID: W4413303223