Ground states for fractional Kirchhoff equations with critical nonlinearity in low dimension

Marco Squassina, Zhisu Liu, Jianjun Zhang

Research output: Contribution to journalArticle

30 Citations (Scopus)

Abstract

We study the existence of ground states to a nonlinear fractional Kirchhoff equation with an external potential V . Under suitable assumptions on V , using the monotonicity trick and the profile decomposition, we prove the existence of ground states. In particular, the nonlinearity does not satisfy the Ambrosetti–Rabinowitz type condition or monotonicity assumptions
Original languageEnglish
Pages (from-to)1-32
Number of pages32
JournalNODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS
Volume24
Publication statusPublished - 2017

Keywords

  • Kirchhoff equations

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