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

Yu Yang and Zhao Yulin: Caffarelli-Kohn-Nirenberg inequality for biharmonic equations with inhomogeneous term and Rellich potential. (2023)

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Abstract

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.

Item Type: Journal
Publication full: Electronic journal of qualitative theory of differential equations
Date: 2023
Number: 26
ISSN: 1417-3875
Number of Pages: 11
Language: English
Place of Publication: Szeged
DOI: 10.14232/ejqtde.2023.1.26
Uncontrolled Keywords: Caffarelli-Kohn-Nirenberg egyenlőtlenség, Differenciálegyenlet
Additional Information: Bibliogr.: p. 9-11. ; összefoglalás angol nyelven
Date Deposited: 2023. Nov. 16. 13:00
Last Modified: 2023. Nov. 16. 13:00
URI: http://acta.bibl.u-szeged.hu/id/eprint/82276

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