Bernstein estimates: Weakly coupled systems and integral equations

Diogo Gomes*, Gabriele Terrone

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


In this paper we extend the classical Bernstein estimates for sys-tems of weakly coupled fully non-linear elliptic equations as well as scalar elliptic equations with non-local integral terms and singular kernels.

Original languageEnglish (US)
Pages (from-to)861-868
Number of pages8
JournalCommunications on Pure and Applied Analysis
Issue number3
StatePublished - May 1 2012


  • Bernstein estimate
  • Fractional laplacian
  • Maximum principles
  • Singular integral operators
  • Systems of fully non-linear elliptic equations
  • Weak coupling

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics


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