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

Tsing San Hsu, Yanbin Sang*

*Corresponding author for this work

Research output: Contribution to journalJournal Article peer-review

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 languageEnglish
Article number11
JournalAnnals of Functional Analysis
Volume14
Issue number1
DOIs
StatePublished - 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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