Existence and multiplicity of solutions to fractional p -Laplacian systems with concave-convex nonlinearities

Hamed Alsulami, Mokhtar Kirane, Shabab Alhodily, Tareq Saeed, Nemat Nyamoradi

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

This paper is concerned with a fractional p-Laplacian system with both concave-convex nonlinearities. The existence and multiplicity results of positive solutions are obtained by variational methods and the Nehari manifold.

Original languageBritish English
Article number2050007
JournalBulletin of Mathematical Sciences
Volume10
Issue number1
DOIs
StatePublished - 1 Apr 2020

Keywords

  • fractional p -Laplacian operators
  • Nehari manifold
  • variational method

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