Multiple Nontrivial Solutions for Biharmonic Systems Involving Rellich-type Potentials and Homogeneous Terms

Yanbin Sang; Tsing San Hsu

doi:10.11650/tjm/240601

Multiple Nontrivial Solutions for Biharmonic Systems Involving Rellich-type Potentials and Homogeneous Terms

Yanbin Sang, Tsing San Hsu^*

^*Corresponding author for this work

Division of Natural Science

North University of China

Research output: Contribution to journal › Journal Article › peer-review

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.

Original language	English
Pages (from-to)	1137-1159
Number of pages	23
Journal	Taiwanese Journal of Mathematics
Volume	28
Issue number	6
DOIs	https://doi.org/10.11650/tjm/240601
State	Published - 12 2024

Bibliographical note

Publisher Copyright:
© 2024, Mathematical Society of the Rep. of China. All rights reserved.

Keywords

biharmonic systems
homogeneous terms
multiple nontrivial solutions
Rellich-type potentials

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10.11650/tjm/240601

Cite this

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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.",

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author = "Yanbin Sang and Hsu, {Tsing San}",

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AB - 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.

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KW - homogeneous terms

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Multiple Nontrivial Solutions for Biharmonic Systems Involving Rellich-type Potentials and Homogeneous Terms

Abstract

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Keywords

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