Nonlocal elliptic systems involving critical sobolev-hardy exponents and concave-convex nonlinearities

Jinguo Zhang, Tsing San Hsu*

*Corresponding author for this work

Research output: Contribution to journalJournal Article peer-review

6 Scopus citations

Abstract

In this paper, a system of fractional elliptic equation is investigated, which involving fractional critical Sobolev-Hardy exponent and concave-convex terms. By means of variational methods and analytic techniques, the existence and multiplicity of positive solutions to the system is established.

Original languageEnglish
Pages (from-to)1479-1510
Number of pages32
JournalTaiwanese Journal of Mathematics
Volume23
Issue number6
DOIs
StatePublished - 12 2019

Bibliographical note

Publisher Copyright:
© 2019, Mathematical Society of the Rep. of China. All rights reserved.

Keywords

  • Concave-convex nonlinearities
  • Fractional Laplacian
  • Fractional critical Sobolev-Hardy exponent
  • Hardy potential
  • Multiple positive solutions

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