Caffarelli–Kohn–Nirenberg inequality for biharmonic equations with inhomogeneous term and Rellich potential

Autor: Yang Yu, Yulin Zhao
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Electronic Journal of Qualitative Theory of Differential Equations, Vol 2023, Iss 26, Pp 1-11 (2023)
Druh dokumentu: article
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2023.1.26
Popis: In this article, multiplicity of nontrivial solutions for an inhomogeneous singular biharmonic equation with Rellich potential are studied. Firstly, a negative energy solution of the studied equations is achieved via the Ekeland's variational principle and Caffarelli–Kohn–Nirenberg inequality. Then by applying Mountain pass theorem lack of Palais–Smale conditions, the second solution with positive energy is also obtained.
Databáze: Directory of Open Access Journals