Biharmonic systems involving a Rellich-type potential and multiple critical strongly coupled terms

Tsing San Hsu; Yanbin Sang

doi:10.1007/s43034-022-00234-0

Biharmonic systems involving a Rellich-type potential and multiple critical strongly coupled terms

Tsing San Hsu, Yanbin Sang^*

^*Corresponding author for this work

Center for General Education

North University of China

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

2 Scopus citations

Abstract

In this work, we study the combined effect of concave and convex nonlinearities on the number of solutions for a biharmonic elliptic system involving a Rellich-type potential and multiple critical strongly coupled terms. Using the Nehari manifold and analytic techniques, the system is proved to have at least two nontrivial nonnegative solutions.

Original language	English
Article number	11
Journal	Annals of Functional Analysis
Volume	14
Issue number	1
DOIs	https://doi.org/10.1007/s43034-022-00234-0
State	Published - 01 2023

Bibliographical note

Publisher Copyright:
© 2022, Tusi Mathematical Research Group (TMRG).

Keywords

Biharmonic systems
Concave and convex nonlinearities
Multiple critical strongly coupled terms
Rellich-type potential

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10.1007/s43034-022-00234-0

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title = "Biharmonic systems involving a Rellich-type potential and multiple critical strongly coupled terms",

abstract = "In this work, we study the combined effect of concave and convex nonlinearities on the number of solutions for a biharmonic elliptic system involving a Rellich-type potential and multiple critical strongly coupled terms. Using the Nehari manifold and analytic techniques, the system is proved to have at least two nontrivial nonnegative solutions.",

keywords = "Biharmonic systems, Concave and convex nonlinearities, Multiple critical strongly coupled terms, Rellich-type potential",

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

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year = "2023",

month = jan,

doi = "10.1007/s43034-022-00234-0",

language = "英语",

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journal = "Annals of Functional Analysis",

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T1 - Biharmonic systems involving a Rellich-type potential and multiple critical strongly coupled terms

AU - Hsu, Tsing San

AU - Sang, Yanbin

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N2 - In this work, we study the combined effect of concave and convex nonlinearities on the number of solutions for a biharmonic elliptic system involving a Rellich-type potential and multiple critical strongly coupled terms. Using the Nehari manifold and analytic techniques, the system is proved to have at least two nontrivial nonnegative solutions.

AB - In this work, we study the combined effect of concave and convex nonlinearities on the number of solutions for a biharmonic elliptic system involving a Rellich-type potential and multiple critical strongly coupled terms. Using the Nehari manifold and analytic techniques, the system is proved to have at least two nontrivial nonnegative solutions.

KW - Biharmonic systems

KW - Concave and convex nonlinearities

KW - Multiple critical strongly coupled terms

KW - Rellich-type potential

UR - https://www.scopus.com/pages/publications/85142629061

U2 - 10.1007/s43034-022-00234-0

DO - 10.1007/s43034-022-00234-0

M3 - 文章

AN - SCOPUS:85142629061

SN - 2008-8752

VL - 14

JO - Annals of Functional Analysis

JF - Annals of Functional Analysis

IS - 1

M1 - 11

ER -

Biharmonic systems involving a Rellich-type potential and multiple critical strongly coupled terms

Abstract

Bibliographical note

Keywords

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