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December, 2024 Multiple Nontrivial Solutions for Biharmonic Systems Involving Rellich-type Potentials and Homogeneous Terms
Yanbin Sang, Tsing-San Hsu
Author Affiliations +
Taiwanese J. Math. 28(6): 1137-1159 (December, 2024). DOI: 10.11650/tjm/240601

Abstract

In this work, a biharmonic elliptic system is investigated, which involves a Rellich-type potential and a homogeneous term of a critical Rellich–Sobolev degree. By using the variational methods and analytic techniques, we obtain multiplicity result of nontrivial solutions for the system.

Funding Statement

This research is supported by Fundamental Research Program of Shanxi Province under grant number 202103021224198.

Citation

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Yanbin Sang. Tsing-San Hsu. "Multiple Nontrivial Solutions for Biharmonic Systems Involving Rellich-type Potentials and Homogeneous Terms." Taiwanese J. Math. 28 (6) 1137 - 1159, December, 2024. https://doi.org/10.11650/tjm/240601

Information

Received: 17 March 2024; Accepted: 1 June 2024; Published: December, 2024
First available in Project Euclid: 1 August 2024

MathSciNet: MR4827857
zbMATH: 07958103
Digital Object Identifier: 10.11650/tjm/240601

Subjects:
Primary: 31B30 , 35B25 , 35B33 , 35J60

Keywords: biharmonic systems , homogeneous terms , multiple nontrivial solutions , Rellich-type potentials

Rights: Copyright © 2024 The Mathematical Society of the Republic of China

Vol.28 • No. 6 • December, 2024
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