H^s versus weighted-C^0 minimizers

Marco Squassina, Antonio Iannizzotto, Sunra Mosconi

Research output: Contribution to journalArticlepeer-review

47 Citations (Scopus)

Abstract

We study a class of semi-linear problems involving the fractional Laplacian under subcritical or critical growth assumptions. We prove that, for the corresponding functional, local minimizers with respect to a C^0-topology weighted with a suitable power of the distance from the boundary are actually local minimizers in the natural H^s-topology
Original languageEnglish
Pages (from-to)477-497
Number of pages21
JournalNODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS
Volume22
Publication statusPublished - 2015

Keywords

  • H^s versus C^0
  • minimizers

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