Critical fractional p-Laplacian problems with possibly vanishing potentials

Kanishka Perera, Marco Squassina, Yang Yang

Research output: Contribution to journalArticlepeer-review

19 Citations (Scopus)


We obtain nontrivial solutions of a critical fractional p-Laplacian equation in the whole space and with possibly vanishing potentials. In addition to the usual difficulty of the lack of compactness associated with problems involving critical Sobolev exponents, the problem is further complicated by the absence of a direct sum decomposition suitable for applying classical linking arguments. We overcome this difficulty using a generalized linking construction based on the Z2-cohomological index
Original languageEnglish
Pages (from-to)818-831
Number of pages14
JournalJournal of Mathematical Analysis and Applications
Publication statusPublished - 2016


  • Vanishing potentials
  • fractional p-Laplacians


Dive into the research topics of 'Critical fractional p-Laplacian problems with possibly vanishing potentials'. Together they form a unique fingerprint.

Cite this